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mfem/examples/maxwell-solver/DST/PML.hpp
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102 lines
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C++

#pragma once
#include "mfem.hpp"
#include <fstream>
#include <iostream>
using namespace std;
using namespace mfem;
// Class for setting up a simple Cartesian PML region
class CartesianPML
{
private:
Mesh *mesh;
// Length of the PML Region in each direction
Array2D<double> length;
// Computational Domain Boundary
Array2D<double> comp_dom_bdr;
// Domain Boundary
Array2D<double> dom_bdr;
// Integer Array identifying elements in the pml
// 0: in the pml, 1: not in the pml
Array<int> elems;
// Compute Domain and Computational Domain Boundaries
void SetBoundaries();
public:
// Constructor
CartesianPML(Mesh *mesh_,Array2D<double> length_);
int dim;
double omega;
// Return Computational Domain Boundary
Array2D<double> GetCompDomainBdr() {return comp_dom_bdr;}
// Return Domain Boundary
Array2D<double> GetDomainBdr() {return dom_bdr;}
// Return Marker list for elements
Array<int> * GetMarkedPMLElements() {return &elems;}
// Mark element in the PML region
void SetAttributes(Mesh *mesh_);
void SetOmega(double omega_) {omega = omega_;}
// PML complex stretching function
void StretchFunction(const Vector &x, vector<complex<double>> &dxs, double omega);
};
class PmlCoefficient : public Coefficient
{
private:
CartesianPML * pml = nullptr;
double (*Function)(const Vector &, CartesianPML * );
public:
PmlCoefficient(double (*F)(const Vector &, CartesianPML *), CartesianPML * pml_)
: pml(pml_), Function(F)
{}
virtual double Eval(ElementTransformation &T, const IntegrationPoint &ip)
{
double x[3];
Vector transip(x, 3);
T.Transform(ip, transip);
return ((*Function)(transip, pml));
}
};
// This includes scalar coefficients
class PmlMatrixCoefficient : public MatrixCoefficient
{
private:
CartesianPML * pml = nullptr;
void (*Function)(const Vector &, CartesianPML * , DenseMatrix &);
public:
PmlMatrixCoefficient(int dim, void(*F)(const Vector &, CartesianPML *,
DenseMatrix &),
CartesianPML * pml_)
: MatrixCoefficient(dim), pml(pml_), Function(F)
{}
virtual void Eval(DenseMatrix &K, ElementTransformation &T,
const IntegrationPoint &ip)
{
double x[3];
Vector transip(x, 3);
T.Transform(ip, transip);
K.SetSize(height, width);
(*Function)(transip, pml, K);
}
};
double pml_detJ_Re(const Vector & x, CartesianPML * pml);
double pml_detJ_Im(const Vector & x, CartesianPML * pml);
void pml_detJ_JT_J_inv_Re(const Vector & x, CartesianPML * pml , DenseMatrix & M);
void pml_detJ_JT_J_inv_Im(const Vector & x, CartesianPML * pml , DenseMatrix & M);