feinterpol2d.C

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/*
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 *
 *             OOFEM : Object Oriented Finite Element Code
 *
 *               Copyright (C) 1993 - 2025   Borek Patzak
 *
 *
 *
 *       Czech Technical University, Faculty of Civil Engineering,
 *   Department of Structural Mechanics, 166 29 Prague, Czech Republic
 *
 *  This library is free software; you can redistribute it and/or
 *  modify it under the terms of the GNU Lesser General Public
 *  License as published by the Free Software Foundation; either
 *  version 2.1 of the License, or (at your option) any later version.
 *
 *  This program is distributed in the hope that it will be useful,
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 *  Lesser General Public License for more details.
 *
 *  You should have received a copy of the GNU Lesser General Public
 *  License along with this library; if not, write to the Free Software
 *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
 */
 
#include "feinterpol2d.h"
#include "floatarray.h"
#include "floatarrayf.h"
#include "gaussintegrationrule.h"
 
namespace oofem {
IntArray FEInterpolation2d :: boundaryEdgeGiveNodes(int boundary, Element_Geometry_Type egt, bool includeHierarchical) const
{
    return this->computeLocalEdgeMapping(boundary);
}
 
void FEInterpolation2d :: boundaryEdgeEvalN(FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
{
    this->edgeEvalN(answer, boundary, lcoords, cellgeo);
}
 
double FEInterpolation2d :: boundaryEdgeGiveTransformationJacobian(int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const 
{
    return this->edgeGiveTransformationJacobian(boundary, lcoords, cellgeo);
}
 
void FEInterpolation2d :: boundaryEdgeLocal2Global(FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
{
    this->edgeLocal2global(answer, boundary, lcoords, cellgeo);
}
 
double FEInterpolation2d :: boundaryEdgeEvalNormal(FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
{
    return this->edgeEvalNormal(answer, isurf, lcoords, cellgeo);
 
}
 
double FEInterpolation2d :: giveArea(const FEICellGeometry &cellgeo) const
{
    OOFEM_ERROR("Not implemented in subclass.");
}
 
#define POINT_TOL 1.e-3
 
int FEInterpolation2d :: global2local(FloatArray &answer, const FloatArray &gcoords, const FEICellGeometry &cellgeo) const
{
    FloatArray res, delta, guess, lcoords_guess;
    FloatMatrix jac;
    double convergence_limit, error = 0.0;
 
    // find a suitable convergence limit
    convergence_limit = 1e-6 * this->giveCharacteristicLength(cellgeo);
 
    // setup initial guess
    lcoords_guess.resize( 2 );
    lcoords_guess.zero();
 
    // apply Newton-Raphson to solve the problem
    for ( int nite = 0; nite < 10; nite++ ) {
        // compute the residual
        this->local2global(guess, lcoords_guess, cellgeo);
        res = Vec2(gcoords(0) - guess(0), gcoords(1) - guess(1));
 
        // check for convergence
        error = res.computeNorm();
        if ( error < convergence_limit ) {
            break;
        }
 
        // compute the corrections
        this->giveJacobianMatrixAt(jac, lcoords_guess, cellgeo);
        jac.solveForRhs(res, delta);
 
        // update guess
        lcoords_guess.add(delta);
    }
    if ( error > convergence_limit ) { // Imperfect, could give false negatives.
        OOFEM_WARNING("Failed convergence");
        answer = Vec2(1. / 3., 1. / 3.);
        return false;
    }
 
    answer = Vec2( lcoords_guess(0), lcoords_guess(1) );
 
    return inside(answer);
}
 
void
FEInterpolation2d :: giveJacobianMatrixAt(FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
// Returns the jacobian matrix  J (x,y)/(ksi,eta)  of the receiver.
{
    FloatMatrix dn;
 
    jacobianMatrix.resize(2, 2);
    jacobianMatrix.zero();
 
    this->evaldNdxi(dn, lcoords, cellgeo );
 
    for ( int i = 1; i <= dn.giveNumberOfRows(); i++ ) {
        double x = cellgeo.giveVertexCoordinates(i).at(xind);
        double y = cellgeo.giveVertexCoordinates(i).at(yind);
 
        jacobianMatrix.at(1, 1) += dn.at(i, 1) * x;
        jacobianMatrix.at(2, 1) += dn.at(i, 1) * y;
        jacobianMatrix.at(1, 2) += dn.at(i, 2) * x;
        jacobianMatrix.at(2, 2) += dn.at(i, 2) * y;
    }
}
 
bool FEInterpolation2d ::inside(const FloatArray &lcoords) const
{
    OOFEM_ERROR("Not implemented.")
}
 
IntArray FEInterpolation2d :: boundaryGiveNodes(int boundary, Element_Geometry_Type egt) const
{
    return this->computeLocalEdgeMapping(boundary);
}
 
void FEInterpolation2d :: boundaryEvalN(FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
{
    this->edgeEvalN(answer, boundary, lcoords, cellgeo);
}
 
double FEInterpolation2d :: boundaryEvalNormal(FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
{
    return this->edgeEvalNormal(answer, boundary, lcoords, cellgeo);
}
 
double FEInterpolation2d :: boundaryGiveTransformationJacobian(int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const 
{
    return this->edgeGiveTransformationJacobian(boundary, lcoords, cellgeo);
}
 
void FEInterpolation2d :: boundaryLocal2Global(FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const 
{
    return this->edgeLocal2global(answer, boundary, lcoords, cellgeo);
}
 
IntArray FEInterpolation2d :: computeEdgeMapping(const IntArray &elemNodes, int iedge) const
{
    const auto& ln = this->computeLocalEdgeMapping(iedge);
    int size = ln.giveSize();
    IntArray edgeNodes(size);
    for ( int i = 1; i <= size; i++ ) {
        edgeNodes.at(i) = elemNodes.at( ln.at(i) );
    }
    return edgeNodes;
}
 
double FEInterpolation2d :: edgeGiveTransformationJacobian(int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const 
{
    FloatArray normal;
    return this->edgeEvalNormal(normal, iedge, lcoords, cellgeo);
}
 
void FEInterpolation2d::boundarySurfaceEvalN(FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
{
  this->evalN(answer, lcoords, cellgeo);
}
 
void FEInterpolation2d::boundarySurfaceEvaldNdx(FloatMatrix &answer, int isurf,
                            const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
{
  this->evaldNdx(answer, lcoords, cellgeo);
}
 
double FEInterpolation2d::boundarySurfaceEvalNormal(FloatArray &answer, int isurf, const FloatArray &lcoords,
                            const FEICellGeometry &cellgeo) const
{
    answer = Vec3(0, 0, 1);
    return this->giveTransformationJacobian(lcoords, cellgeo);
}
 
 
  FloatArrayF<2> FEInterpolation2d::surfaceEvalBaseVectorsAt(int isurf, const FloatArray & lcoords, const FEICellGeometry & cellgeo) const
{
    //Adapted from FEI3dQuadLin
    // Note: These are not normalized. Returns the two tangent vectors to the surface.
    FloatMatrix dNdxi;
    this->surfaceEvaldNdxi(dNdxi, lcoords);
 
    //Get nodes which correspond to the surface in question
    auto nodeIndices = this->computeLocalEdgeMapping(isurf);
    FloatArrayF<2> G1;
    for (int i = 0; i < nodeIndices.giveSize(); ++i) {
      G1 += dNdxi(i, 0) * FloatArrayF<2>(cellgeo.giveVertexCoordinates(nodeIndices(i)));
    }
    return G1;
}
 
void FEInterpolation2d::surfaceEvaldNdxi(FloatMatrix & answer, const FloatArray & lcoords) const
{
    OOFEM_ERROR("Not implemented");
}
 
void FEInterpolation2d::surfaceEvald2Ndxi2(FloatMatrix & answer, const FloatArray & lcoords) const
{
    OOFEM_ERROR("Not implemented");
}
 
 
 
  
 
void FEInterpolation2d::boundarySurfaceLocal2global(FloatArray &answer, int isurf,
                            const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
{
    this->local2global(answer, lcoords, cellgeo);
}
 
double FEInterpolation2d::boundarySurfaceGiveTransformationJacobian(int isurf, const FloatArray &lcoords,
                            const FEICellGeometry &cellgeo) const 
{
  return this->giveTransformationJacobian(lcoords, cellgeo);
}
 
IntArray FEInterpolation2d::boundarySurfaceGiveNodes(int boundary, Element_Geometry_Type egt, bool includeHierarchical) const
{
    int nnode = this->giveNumberOfNodes(egt);
    IntArray answer(nnode);
    answer.enumerate(nnode);
    return answer;
}
 
  
} // end namespace oofem