Documentation of hypre's FEI implementation (no LinSysCore stuff).
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FEI_mv/fei-hypre/LLNL_FEI.doc
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FEI_mv/fei-hypre/LLNL_FEI.doc
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/*BHEADER**********************************************************************
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* Copyright (c) 2006 The Regents of the University of California.
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* Produced at the Lawrence Livermore National Laboratory.
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* Written by the HYPRE team. UCRL-CODE-222953.
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* All rights reserved.
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*
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* This file is part of HYPRE (see http://www.llnl.gov/CASC/hypre/).
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* Please see the COPYRIGHT_and_LICENSE file for the copyright notice,
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* disclaimer, contact information and the GNU Lesser General Public License.
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*
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* HYPRE is free software; you can redistribute it and/or modify it under the
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* terms of the GNU General Public License (as published by the Free Software
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* Foundation) version 2.1 dated February 1999.
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*
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* HYPRE is distributed in the hope that it will be useful, but WITHOUT ANY
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* WARRANTY; without even the IMPLIED WARRANTY OF MERCHANTABILITY or FITNESS
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* FOR A PARTICULAR PURPOSE. See the terms and conditions of the GNU General
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* Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public License
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* along with this program; if not, write to the Free Software Foundation,
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* Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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*
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* $Revision$
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***********************************************************************EHEADER*/
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/**
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* @name Finite Element Interface
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*
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* @memo A finite element-based conceptual interface
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**/
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/*@{*/
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/**
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* @name FEI Functions
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**/
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/*@{*/
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/**
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* Finite element interface constructor: this function creates an
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* instantiation of the HYPRE fei class.
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* @param comm - an MPI communicator
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**/
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LLNL_FEI_Impl(MPI_Comm comm);
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/**
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* Finite element interface destructor: this function destroys
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* the object as well as its internal memory allocations.
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* @param - no parameter needed
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**/
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~LLNL_FEI_Impl();
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/**
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* The parameter function is the single most important function
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* to pass solver information (which solver, which preconditioner,
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* tolerance, other solver parameters) to HYPRE.
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* @param numParams - number of command strings
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* @param paramStrings - the command strings
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**/
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int parameters(int numParams, char **paramStrings);
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/**
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* Each node or element variable has one or more fields. The field
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* information can be set up using this function.
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* @param numFields - total number of fields for all variable types
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* @param fieldSizes - degree of freedom for each field type
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* @param fieldIDs - a list of field identifiers
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**/
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int initFields(int numFields, int *fieldSizes, int *fieldIDs);
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/**
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* The whole finite element mesh can be broken down into a number of
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* element blocks. The attributes for each element block are: an
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* identifier, number of elements, number of nodes per elements,
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* the number of fields in each element node, etc.
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* @param elemblockID - element block identifier
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* @param numElements - number of element in this block
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* @param numNodesPerElement - number of nodes per element in this block
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* @param numFieldsPerNode - number of fields for each node
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* @param nodalFieldIDs - field identifiers for the nodal unknowns
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* @param numElemDOFFieldsPerElement - number of fields for the element
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* @param elemDOFFieldIDs - field identifier for the element unknowns
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* @param interleaveStratety - indicates how unknowns are ordered
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*/
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int initElemBlock(int elemBlockID, int numElements,
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int numNodesPerElement, int *numFieldsPerNode,
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int **nodalFieldIDs, int numElemDOFFieldsPerElement,
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int *elemDOFFieldIDs, int interleaveStrategy);
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/**
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* This function initializes element connectivity (that is, the node
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* identifiers associated with the current element) given an element
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* block identifier and the element identifier with the element block.
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* @param elemblockID - element block identifier
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* @param elemID - element identifier
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* @param elemConn - a list of node identifiers for this element
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**/
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int initElem(int elemBlockID, int elemID, int *elemConn);
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/**
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* This function initializes the nodes that are shared between the
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* current processor and its neighbors. The FEI will decide a unique
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* processor each shared node will be assigned to.
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* @param nShared - number of shared nodes
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* @param sharedIDs - shared node identifiers
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* @param sharedLengs - the number of processors each node shares with
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* @param sharedProcs - the processor identifiers each node shares with
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**/
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int initSharedNodes(int nShared, int *sharedIDs, int *sharedLengs,
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int **sharedProcs);
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/**
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* This function initializes the Lagrange multiplier constraints
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* @param CRListLen - the number of constraints
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* @param CRNodeList - node identifiers where constraints are applied
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* @param CRFieldList - field identifiers within nodes where constraints are applied
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* @param CRID - the constraint identifier
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**/
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int initCRMult(int CRListLen,int *CRNodeList,int *CRFieldList,int *CRID);
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/**
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* This function signals to the FEI that the initialization step has
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* been completed. The loading step will follow.
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* @param - no parameter needed
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**/
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int initComplete();
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/**
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* This function resets the global matrix to be of the same sparsity
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* pattern as before but with every entry set to s. The right hand
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* side is set to 0.
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* @param s - the value each matrix entry is set to.
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**/
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int resetSystem(double s);
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/**
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* This function resets the global matrix to be of the same sparsity
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* pattern as before but with every entry set to s.
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* @param s - the value each matrix entry is set to.
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**/
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int resetMatrix(double s);
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/**
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* This function resets the right hand side vector to s.
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* @param s - the value each right hand side vector entry is set to.
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**/
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int resetRHSVector(double s);
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/**
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* This function resets the solution vector to s.
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* @param s - the value each solution vector entry is set to.
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**/
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int resetInitialGuess(double s);
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/**
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* This function loads the nodal boundary conditions. The boundary conditions
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* allowed are of the robin type.
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* @param nNodes - number of nodes boundary conditions are imposed
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* @param nodeIDs - nodal identifiers
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* @param fieldID - field identifier with nodes where BC are imposed
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* @param alpha - the multipliers for the field
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* @param beta - the multipliers for the normal derivative of the field
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* @param gamma - the boundary values on the right hand side of the equations
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**/
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int loadNodeBCs(int nNodes, int *nodeIDs, int fieldID, double **alpha,
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double **beta, double **gamma);
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/**
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* This function adds the element contribution to the global stiffness matrix
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* and also the element load to the right hand side vector
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* @param elemBlockID - element block identifier
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* @param elemID - element identifier
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* @param elemConn - a list of node identifiers for this element
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* @param elemStiff - element stiffness matrix
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* @param elemLoad - right hand side (load) for this element
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* @param elemFormat - the format the unknowns are passed in
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**/
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int sumInElem(int elemBlockID, int elemID, int *elemConn,
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double **elemStiff, double *elemLoad, int elemFormat);
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/**
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* This function differs from the sumInElem function in that the right hand
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* load vector is not passed.
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* @param elemBlockID - element block identifier
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* @param elemID - element identifier
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* @param elemConn - a list of node identifiers for this element
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* @param elemStiff - element stiffness matrix
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* @param elemFormat - the format the unknowns are passed in
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**/
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int sumInElemMatrix(int elemBlock, int elemID, int* elemConn,
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double **elemStiffness, int elemFormat);
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/**
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* This function adds the element load to the right hand side vector
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* @param elemBlockID - element block identifier
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* @param elemID - element identifier
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* @param elemConn - a list of node identifiers for this element
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* @param elemLoad - right hand side (load) for this element
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**/
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int sumInElemRHS(int elemBlock, int elemID, int *elemConn,
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double *elemLoad);
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/**
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* This function signals to the FEI that the loading phase has
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* been completed.
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* @param - no parameter needed
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**/
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int loadComplete();
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/**
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* This function returns the number of nodes given the element block.
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* @param elemBlockID - element block identifier
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* @param nNodes - the number of nodes to be returned
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**/
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int getNumBlockActNodes(int elemBlockID, int *nNodes);
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/**
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* This function returns the number of unknowns given the element block.
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* @param elemBlockID - element block identifier
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* @param nEqns - the number of unknowns to be returned
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**/
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int getNumBlockActEqns(int elemBlockID, int *nEqns);
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/**
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* This function returns the node identifiers given the element block.
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* @param elemBlockID - element block identifier
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* @param numNodes - the number of nodes
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* @param nodeIDList - the node identifiers
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**/
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int getBlockNodeIDList(int elemBlockID, int numNodes, int *nodeIDList);
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/**
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* This function returns the nodal solutions given the element block number.
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* @param elemBlockID - element block identifier
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* @param numNodes - the number of nodes
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* @param nodeIDList - the node identifiers
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* @param solnOffsets - the equation number for each nodal solution
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* @param solnValues - the nodal solution values
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**/
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int getBlockNodeSolution(int elemBlockID, int numNodes, int *nodeIDList,
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int *solnOffsets, double *solnValues);
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/**
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* This function loads the Lagrange multiplier constraints
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* @param CRID - the constraint identifier
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* @param CRListLen - the number of constraints
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* @param CRNodeList - node identifiers where constraints are applied
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* @param CRFieldList - field identifiers within nodes where constraints are applied
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* @param CRWeightList - a list of weights applied to each specified field
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* @param CRValue - the constraint value (right hand side of the constraint)
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**/
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int loadCRMult(int CRID, int CRListLen, int *CRNodeList, int *CRFieldList,
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double *CRWeightList, double CRValue);
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/*@}*/
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/**
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* @name FEI Solver Parameters
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**/
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/*@{*/
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/**
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* Here the various options for solvers and preconditioners
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* are defined.
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*
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*\begin{description}
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*\item[solver xxx] where xxx specifies one of {\sf cg}, {\sf gmres},
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* {\sf fgmres}, {\sf bicgs}, {\sf bicgstab}, {\sf tfqmr},
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* {\sf symqmr}, {\sf superlu}, or {\sf superlux}. The
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* default is {\sf gmres}.
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* The solver type can be followed by {\sf override} to
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* specify its priority when multiple solvers are declared
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* at random order.
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*\item[preconditioner xxx] where xxx is one of {\sf diagonal}, {\sf pilut},
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* {\sf euclid}, {\sf parasails}, {\sf boomeramg}, {\sf poly}, or
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* {\sf mli}. The default is {\sf diagonal}. Another option for
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* xxx is {\sf reuse} which allows the preconditioner to be reused
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* (this should only be set after a preconditioner has been set
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* up already).
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* The preconditioner type can be followed by {\sf override} to
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* specify its priority when multiple preconditioners are declared
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* at random order.
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*\item[maxIterations xxx] where xxx is an integer specifying the maximum
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* number of iterations permitted for the iterative solvers.
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* The default value is 1000.
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*\item[tolerance xxx] where xxx is a floating point number specifying the
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* termination criterion for the iterative solvers. The default
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* value is 1.0E-6.
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*\item[gmresDim xxx] where xxx is an integer specifying the value of m in
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* restarted GMRES(m). The default value is 100.
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*\item[stopCrit xxx] where xxx is one of {\sf absolute} or {\sf relative}
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* stopping criterion.
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*\item[superluOrdering xxx] - where xxx specifies one of {\sf natural} or
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* {\sf mmd} (minimum degree ordering). This ordering
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* is used to minimize the number of nonzeros generated
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* in the LU decomposition. The default is natural ordering.
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*\item[superluScale xxx] where xxx specifies one of {\sf y} (perform row
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* and column scalings before decomposition) or {\sf n}.
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* The default is no scaling.
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*\end{description}
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**/
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Preconditioners and Solvers
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/**
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* Parameter options for the algebraic multigrid preconditioner BoomerAMG.
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*
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*\begin{description}
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*\item[amgMaxLevels xxx] where xxx is an integer specifying the maximum
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* number of levels to be used for the grid hierarchy.
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*\item[amgCoarsenType xxx] where xxx specifies one of {\sf falgout} or
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* {\sf ruge}, or {\sf default (CLJP)} coarsening for BoomerAMG.
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*\item[amgMeasureType xxx] where xxx specifies one of {\sf local} or
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* or {\sf global}. This parameter affects how coarsening is
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* performed in parallel.
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*\item[amgRelaxType xxx] where xxx is one of {\sf jacobi} (Damped Jacobi),
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* {\sf gs-slow} (sequential Gauss-Seidel), {\sf gs-fast}
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* (Gauss-Seidel on interior nodes), or {\sf hybrid}.
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* The default is {\sf hybrid}.
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*\item[amgNumSweeps xxx] where xxx is an integer specifying the number of
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* pre- and post-smoothing at each level of BoomerAMG.
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* The default is two pre- and two post-smoothings.
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*\item[amgRelaxWeight xxx] where xxx is a floating point number between
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* 0 and 1 specifying the damping factor for BoomerAMG's damped
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* Jacobi and GS smoothers. The default value is 1.0.
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*\item[amgRelaxOmega xxx] where xxx is a floating point number between
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* 0 and 1 specifying the damping factor for BoomerAMG's hybrid
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* smoother for multiple processors. The default value is 1.0.
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*\item[amgStrongThreshold xxx] where xxx is a floating point number between 0
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* and 1 specifying the threshold used to determine
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* strong coupling in BoomerAMG's coasening. The default
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* value is 0.25.
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*\item[amgSystemSize xxx] where xxx is the degree of freedom per node.
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*\item[amgMaxLevels xxx] where xxx is an integer specifying the maximum
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* number of iterations to be used during the solve phase.
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*\item[amgUseGSMG] - tells BoomerAMG to use a different coarsening called
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* GSMG.
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*\item[amgGSMGNumSamples] where xxx is the number of samples to generate
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* to determine how to coarsen for GSMG.
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*\end{description}
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**/
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BoomerAMG
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/**
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* Parameter options for the smoothed aggregation preconditioner MLI.
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*
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*\begin{description}
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*\item[outputLevel xxx] where xxx is the output level for diagnostics.
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*\item[method xxx] where xxx is either {\sf AMGSA} (default), {\sf AMGSAe},
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* to indicate which MLI algorithm is to be used.
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*\item[numLevels xxx] where xxx is the maximum number of levels (default=30)
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* used.
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*\item[maxIterations xxx] where xxx is the maximum number of iterations
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* (default = 1 as preconditioner).
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*\item[cycleType xxx] where xxx is either 'V' or 'W' cycle (default = 'V').
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*\item[strengthThreshold xxx] strength threshold for coarsening (default = 0).
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*\item[smoother xxx] where xxx is either {\sf Jacobi}, {\sf BJacobi}, {\sf GS},
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* {\sf SGS}, {\sf HSGS} (SSOR,default), {\sf BSGS}, {\sf ParaSails},
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* {\sf MLS}, {\sf CGJacobi}, {\sf CGBJacobi}, or {\sf Chebyshev}.
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*\item[numSweeps xxx] where xxx is the number of smoother sweeps (default = 2).
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*\item[coarseSolver xxx] where xxx is one of those in 'smoother' or
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* {\sf SuperLU} (default).
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*\item[minCoarseSize xxx] where xxx is the minimum coarse grid size to
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* control the number of levels used (default = 3000).
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*\item[Pweight xxx] where xxx is the relaxation parameter for the prolongation
|
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* smoother (default 0.0).
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*\item[nodeDOF xxx] where xxx is the degree of freedom for each node
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* (default = 1).
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*\item[nullSpaceDim xxx] where xxx is the dimension of the null space for
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* the coarse grid (default = 1).
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*\item[useNodalCoord xxx] where xxx is either 'on' or 'off' (default)
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* to indicate whether the nodal coordinates are used to generate the
|
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* initial null space.
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*\item[saAMGCalibrationSize xxx] where xxx is the additional null space
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* vectors to be generated via calibration (default = 0).
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*\item[numSmoothVecs xxx] where xxx is the number of near null space
|
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* vectors used to create the prolongation operator (default = 0).
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*\item[smoothVecSteps xxx] where xxx is the number of smoothing steps
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* used to generate the smooth vectors (default = 0).
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*\end{description}
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*
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*In addition, to use 'AMGSAe', the parameter 'haveSFEI' has to be sent into
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*the FEI using the parameters function (this option is valid only for the
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*Sandia FEI implementation).
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**/
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MLI
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/**
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* Parameter options for ILUT, ParaSails and polynomial preconditioners
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||||
* are defined.
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*
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*\begin{description}
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*\item[euclidNlevels xxx] where xxx is an non-negative integer specifying
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* the desired sparsity of the incomplete factors. The
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* default value is 0.
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*\item[euclidThreshold xxx] where xxx is a floating point number specifying
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||||
* the threshold used to sparsify the incomplete factors. The default
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||||
* value is 0.0.
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||||
*\item[parasailsThreshold xxx] where xxx is a floating point number between 0
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||||
* and 1 specifying the threshold used to prune small entries
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||||
* in setting up the sparse approximate inverse. The default
|
||||
* value is 0.0.
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||||
*\item[parasailsNlevels xxx] where xxx is an integer larger than 0 specifying
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||||
* the desired sparsity of the approximate inverse. The
|
||||
* default value is 1.
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||||
*\item[parasailsFilter xxx] where xxx is a floating point number between 0
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||||
* and 1 specifying the threshold used to prune small entries
|
||||
* in $A$. The default value is 0.0.
|
||||
*\item[parasailsLoadbal xxx] where xxx is a floating point number between 0
|
||||
* and 1 specifying how load balancing has to be done
|
||||
* (Edmond, explain please). The default value is 0.0.
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||||
*\item[parasailsSymmetric] sets Parasails to take $A$ as symmetric.
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||||
*\item[parasailsUnSymmetric] sets Parasails to take $A$ as nonsymmetric
|
||||
* (default).
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||||
*\item[parasailsReuse] sets Parasails to reuse the sparsity pattern of $A$.
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||||
*\item[polyorder xxx] where xxx is the order of the least-squares polynomial
|
||||
* preconditioner.
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||||
*\end{description}
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||||
**/
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||||
Various
|
||||
|
||||
/**
|
||||
* Parameters which define different reduction modes.
|
||||
*
|
||||
*\begin{description}
|
||||
*\item[schurReduction] turns on the Schur reduction mode.
|
||||
*\item[slideReduction] turns on the slide reduction mode.
|
||||
*\item[slideReduction2] turns on the slide reduction mode version 2
|
||||
*(see section 2).
|
||||
*\item[slideReduction3] turns on the slide reduction mode version 3
|
||||
*(see section 2).
|
||||
*\end{description}
|
||||
**/
|
||||
Matrix Reduction
|
||||
|
||||
/**
|
||||
* Parameters control diagnostic information, memory use, etc.
|
||||
*
|
||||
*\begin{description}
|
||||
*\item[outputLevel xxx] where xxx is an integer specifying the output
|
||||
* level. An output level of $1$ prints only the solver
|
||||
* information such as number of iterations and timings.
|
||||
* An output level of $2$ prints debug information such as
|
||||
* the functions visited and preconditioner information.
|
||||
* An output level of $3$ or higher prints more debug information
|
||||
* such as the matrix and right hand side loaded via the
|
||||
* LinearSystemCore functions to the standard output.
|
||||
*\item[setDebug xxx] where xxx is one of {\sf slideReduction1},
|
||||
* {\sf slideReduction2},
|
||||
* {\sf slideReduction3} (level 1,2,3 diagnostics in the slide surface
|
||||
* reduction code), {\sf printMat} (print the original matrix
|
||||
* into a file), {\sf printReducedMat} (print the reduced matrix
|
||||
* into a file), {\sf printSol} (print the solution into a file),
|
||||
* {\sf ddilut} (output diagnostic information for DDIlut
|
||||
* preconditioner setup), and {\sf amgDebug} (output diagnostic
|
||||
* information for AMG).
|
||||
*\item[optimizeMemory] cleans up the matrix sparsity pattern after the matrix
|
||||
* has been loaded. (It has been kept to allow matrix reuse.)
|
||||
*\item[imposeNoBC] turns off the boundary condition to allow diagnosing the
|
||||
* matrix (for example, checking the null space.)
|
||||
*\end{description}
|
||||
**/
|
||||
Performance Tuning and Diagnostics
|
||||
|
||||
/**
|
||||
* Parameters that are helpful for finite element information.
|
||||
*
|
||||
*\begin{description}
|
||||
*\item[AConjugateProjection xxx] where xxx specifies the number of previous
|
||||
* solution vectors to keep for the A-conjugate projection.
|
||||
* The default is 0 (the projection is off).
|
||||
*\item[minResProjection xxx] where xxx specifies the number of previous
|
||||
* solution vectors to keep for projection.
|
||||
* The default is 0 (the projection is off).
|
||||
*\item[haveFEData] indicates that additional finite element information are
|
||||
* available to assist in building more efficient solvers.
|
||||
*\item[haveSFEI] indicates that the simplified finite element information are
|
||||
* available to assist in building more efficient solvers.
|
||||
*\end{description}
|
||||
**/
|
||||
Miscellaneous
|
||||
|
||||
/*@}*/
|
||||
|
||||
/*@}*/
|
||||
|
||||
Loading…
Reference in New Issue
Block a user