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hessiansFromSolution.cc
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hessiansFromSolution.cc
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#include "phParAdapt.h"
#include "mpi.h"
#include <stdlib.h>
#ifdef __cplusplus
extern "C" {
#endif
extern pMeshDataId nodalGradientID;
extern pMeshDataId nodalHessianID;
// hessian returned : 6-component (symmetric)
// u_xx, u_xy, u_xz, u_yy, u_yz, u_zz
// the nodal data later can be retrieved via
// nodalHessianID
void
hessiansFromSolution(pParMesh pmesh, pMesh mesh,int stepNumber)
{
// compute the hessian field from the solution
// recover gradients using a patch
// attaches:
// Sum of weighted (local) gradients to vertices via localGradientID
// Sum of (local) patch Volumes to vertices via localPatchVolId
// for (int k=0; k<10; k++){
// SmoothErrorIndicators(mesh, 1);
// }
gradientsFromPatch(mesh);
MPI_Barrier(MPI_COMM_WORLD);
// communicates missing contributions over procs/=parts
// each part p's vertex has
// (double localPatchVolume, double localPatchGradient) , i.e
// V_p = Sum_numSurrEles(VolE)
// G_p = Sum_numSurrEles(VolE * grad(E))
//
// data are gathered via
// localGradientID
// localPatchVolId
// The commu attaches the combined data via nodalGradientID
commuGradientsFromPatch(pmesh, mesh);
MPI_Barrier(MPI_COMM_WORLD);
// recover hessians using a patch (from gradients)
// attaches local hessian to vertices via localHessianId
// (local) patch Volumes is Still there via localPatchVolId
// hessian attached : 6-component (symmetric)
// u_xx, u_xy, u_xz, u_yy, u_yz, u_zz
hessiansFromPatch(mesh);
MPI_Barrier(MPI_COMM_WORLD);
// communicates missing contributions over procs/=parts
// analogous to commuGradientsFromPatch
commuHessiansFromPatch(pmesh,mesh);
MPI_Barrier(MPI_COMM_WORLD);
// simple average over a patch surrounding the vertex
// needs:
// (local) average Hessian
// (local) number of contributing vertices
SmoothHessians(mesh);
MPI_Barrier(MPI_COMM_WORLD);
// communicates missing contributions over procs/=parts
// attaches the averaged Hessian via nodalHessianId
commuSmoothHessians(pmesh,mesh);
MPI_Barrier(MPI_COMM_WORLD);
// writeRestartHessians( mesh ) ;
}
#ifdef __cplusplus
}
#endif