SubElementAssembler.h 4.26 KB
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/** \file SubElementAssembler.h */

#ifndef AMDIS_SUBELEMENTASSEMBLER_H
#define AMDIS_SUBELEMENTASSEMBLER_H

#include "MemoryManager.h"
#include "Assembler.h"
#include "SubElInfo.h"
#include "ScalableQuadrature.h"

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namespace AMDiS {
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  class SubPolytope;
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  // ============================================================================
  // ===== class SubElementAssembler ============================================
  // ============================================================================
  //
  // Class Desription:
  // The class \ref SubElementAssembler holds the routines for the assemblage on
  // subpolytopes and subelements.
  // The integration on a subpolytope takes place by integrating on the 
  // subelements and afterwards summing up the results.
  // If S' is a sublement and S the element containing S', the numerical integration
  // on S' is done by integration on the element S with a manipulated quadrature 
  // formula and multiplication of the result with a correction term consisting of
  // the determinants corresponding to S and S'. That means, the quadrature points
  // are manipulated in the following way:
  // The original quadrature formula holds quadrature points which are given in
  // barycentric coordinates with respect to S'. Now we express these quadrature 
  // points in barycentric coordinates with respect to S and obtain the manipulated
  // quadrature points we need. Obviously, the corresponding quadrature points 
  // in world coordinates coincide. Thus the numerical integration on S with the
  // manipulated quadrature formula gives us the same result as the numerical
  // integration on S' with the original quadrature formula up to the determinant.
  // This method for integration on subelements allows the reuse of the routines for
  // the integration on elements.
  //
  // The manipulation of the quadrature formula takes place for the corresponding
  // assembler type (ZeroOrderAssembler, FirstOrderAssemblerGrdPsi, ...).
  //
  // Main routines:
  // SubElementAssembler()  - Creates a scalable quadrature for the appropriate
  //                          assembler type and assigns this quadrature to the 
  //                          assembler.
  // scaleQuadratures()     - Manipulates the scalable quadrature of the 
  //                          appropriate assembler type with respect to a 
  //                          subelement.
  // getSubPolytopeVector() - Calculates the righthandside vector for a polytope.
  // getSubPolytopeMatrix() - Calculates the system matrix for a polytope.
  // getSubElementVector()  - Calculates the righthandside vector for a subelement.
  // getSubElementMatrix()  - Calculates the system matrix for a subelement.
  // ============================================================================
  class SubElementAssembler : public StandardAssembler
  {
  public:
    MEMORY_MANAGED(SubElementAssembler);
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    SubElementAssembler(Operator *op, 
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			const FiniteElemSpace *rowFESpace,
			const FiniteElemSpace *colFESpace = NULL);
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    virtual ~SubElementAssembler()
    {
      if (zeroOrderScalableQuadrature)
	DELETE zeroOrderScalableQuadrature;
      if (firstOrderGrdPsiScalableQuadrature)
	DELETE firstOrderGrdPsiScalableQuadrature;
      if (firstOrderGrdPhiScalableQuadrature)
	DELETE firstOrderGrdPhiScalableQuadrature;
      if (secondOrderScalableQuadrature) 
	DELETE secondOrderScalableQuadrature;
    };

    void scaleQuadratures(const SubElInfo& subElInfo);
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    void getSubElementVector(SubElInfo *subElInfo, 
			     const ElInfo *elInfo, 
			     ElementVector *userVec);
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    void getSubElementMatrix(SubElInfo *subElInfo, 
			     const ElInfo *elInfo, 
			     ElementMatrix *userMat);
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    void getSubPolytopeVector(SubPolytope *subPolytope,
			      SubElementAssembler *subElementAssembler,
			      const ElInfo *elInfo,
			      ElementVector *userVec);
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    void getSubPolytopeMatrix(SubPolytope *subPolytope,
			      SubElementAssembler *subElementAssembler,
			      const ElInfo *elInfo,
			      ElementMatrix *userMat);
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  protected:
    ScalableQuadrature *zeroOrderScalableQuadrature;
    ScalableQuadrature *firstOrderGrdPsiScalableQuadrature;
    ScalableQuadrature *firstOrderGrdPhiScalableQuadrature;
    ScalableQuadrature *secondOrderScalableQuadrature;
  };
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}
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#endif  // AMDIS_SUBELEMENTASSEMBLER_H