#include <stdio.h>
#include "settings.h"
#include "amatrix.h"
#include "gaussquad.h"
#include "factorizations.h"
#include "cluster.h"
#include "clustergeometry.h"
#include "hmatrix.h"
#include "clusterbasis.h"
#include "h2matrix.h"
#include "hcoarsen.h"
#include "h2update.h"
#include "aca.h"
#include "curve2d.h"
#include "singquad1d.h"

Data Structures
struct	_bem2d
	Main container object for computation of BEM related matrices and vectors. More...

struct	_kernelbem2d
	Substructure containing callback functions to different types of kernel evaluations. More...

Typedefs
typedef struct _bem2d	bem2d

typedef bem2d *	pbem2d

typedef const bem2d *	pcbem2d

typedef struct _aprxbem2d	aprxbem2d

typedef aprxbem2d *	paprxbem2d

typedef const aprxbem2d *	pcaprxbem2d

typedef struct _parbem2d	parbem2d

typedef parbem2d *	pparbem2d

typedef const parbem2d *	pcparbem2d

typedef struct _kernelbem2d	kernelbem2d

typedef kernelbem2d *	pkernelbem2d

typedef const kernelbem2d *	pckernelbem2d

typedef void(*	quadpoints2d) (pcbem2d bem, const real bmin[2], const real bmax[2], const real delta, real(Z)[2], real(N)[2])
	Callback function type for parameterizations. More...

typedef enum _basisfunctionbem2d	basisfunctionbem2d

typedef field(*	boundary_func2d) (const real x, const real n)

Enumerations
enum	_basisfunctionbem2d { BASIS_NONE_BEM2D = 0, BASIS_CONSTANT_BEM2D = 'c', BASIS_LINEAR_BEM2D = 'l' }
	Possible types of basis functions. More...

Functions
pbem2d	new_bem2d (pccurve2d gr)
	Main constructor for bem2d objects. More...

void	del_bem2d (pbem2d bem)
	Destructor for bem2d objects. More...

pclustergeometry	build_bem2d_const_clustergeometry (pcbem2d bem, uint **idx)
	Creates a clustergeometry object for a BEM-Problem using piecewise constant basis functions. More...

pclustergeometry	build_bem2d_linear_clustergeometry (pcbem2d bem, uint **idx)
	Creates a clustergeometry object for a BEM-Problem using linear basis functions. More...

pclustergeometry	build_bem2d_clustergeometry (pcbem2d bem, uint **idx, basisfunctionbem2d basis)
	Creates a clustergeometry object for a BEM-Problem using the type of basis functions specified by basis. More...

pcluster	build_bem2d_cluster (pcbem2d bem, uint clf, basisfunctionbem2d basis)
	Creates a clustertree for specified basis functions. More...

void	setup_hmatrix_recomp_bem2d (pbem2d bem, bool recomp, real accur_recomp, bool coarsen, real accur_coarsen)
	Initialize the bem object for on the fly recompression techniques. More...

void	setup_hmatrix_aprx_inter_row_bem2d (pbem2d bem, pccluster rc, pccluster cc, pcblock tree, uint m)
	This function initializes the bem2d object for approximating a matrix with tensorinterpolation within the row cluster. More...

void	setup_hmatrix_aprx_inter_col_bem2d (pbem2d bem, pccluster rc, pccluster cc, pcblock tree, uint m)
	This function initializes the bem2d object for approximating a matrix with tensorinterpolation within the column cluster. More...

void	setup_hmatrix_aprx_inter_mixed_bem2d (pbem2d bem, pccluster rc, pccluster cc, pcblock tree, uint m)
	This function initializes the bem2d object for approximating a matrix with tensorinterpolation within one of row or column cluster. More...

void	setup_hmatrix_aprx_green_row_bem2d (pbem2d bem, pccluster rc, pccluster cc, pcblock tree, uint m, uint l, real delta, quadpoints2d quadpoints)
	creating hmatrix approximation using green's method with row cluster . More...

void	setup_hmatrix_aprx_green_col_bem2d (pbem2d bem, pccluster rc, pccluster cc, pcblock tree, uint m, uint l, real delta, quadpoints2d quadpoints)
	creating hmatrix approximation using green's method with column cluster . More...

void	setup_hmatrix_aprx_green_mixed_bem2d (pbem2d bem, pccluster rc, pccluster cc, pcblock tree, uint m, uint l, real delta, quadpoints2d quadpoints)
	creating hmatrix approximation using green's method with one of row or column cluster . More...

void	setup_hmatrix_aprx_greenhybrid_row_bem2d (pbem2d bem, pccluster rc, pccluster cc, pcblock tree, uint m, uint l, real delta, real accur, quadpoints2d quadpoints)
	creating hmatrix approximation using green's method with row cluster connected with recompression technique using ACA. More...

void	setup_hmatrix_aprx_greenhybrid_col_bem2d (pbem2d bem, pccluster rc, pccluster cc, pcblock tree, uint m, uint l, real delta, real accur, quadpoints2d quadpoints)
	creating hmatrix approximation using green's method with column cluster connected with recompression technique using ACA. More...

void	setup_hmatrix_aprx_greenhybrid_mixed_bem2d (pbem2d bem, pccluster rc, pccluster cc, pcblock tree, uint m, uint l, real delta, real accur, quadpoints2d quadpoints)
	creating hmatrix approximation using green's method with row or column cluster connected with recompression technique using ACA. More...

void	setup_hmatrix_aprx_aca_bem2d (pbem2d bem, pccluster rc, pccluster cc, pcblock tree, real accur)
	Approximate matrix block with ACA using full pivoting. More...

void	setup_hmatrix_aprx_paca_bem2d (pbem2d bem, pccluster rc, pccluster cc, pcblock tree, real accur)
	Approximate matrix block with ACA using partial pivoting. More...

void	setup_hmatrix_aprx_hca_bem2d (pbem2d bem, pccluster rc, pccluster cc, pcblock tree, uint m, real accur)
	Approximate matrix block with hybrid cross approximation using Interpolation and ACA with full pivoting. More...

void	setup_h2matrix_recomp_bem2d (pbem2d bem, bool hiercomp, real accur_hiercomp)
	Enables hierarchical recompression for hmatrices. More...

void	setup_h2matrix_aprx_inter_bem2d (pbem2d bem, pcclusterbasis rb, pcclusterbasis cb, pcblock tree, uint m)
	Initialize the bem2d object for approximating a h2matrix with tensorinterpolation. More...

void	setup_h2matrix_aprx_greenhybrid_bem2d (pbem2d bem, pcclusterbasis rb, pcclusterbasis cb, pcblock tree, uint m, uint l, real delta, real accur, quadpoints2d quadpoints)
	Initialize the bem2d object for approximating a h2matrix with green's method and ACA based recompression. More...

void	setup_h2matrix_aprx_greenhybrid_ortho_bem2d (pbem2d bem, pcclusterbasis rb, pcclusterbasis cb, pcblock tree, uint m, uint l, real delta, real accur, quadpoints2d quadpoints)
	Initialize the bem2d object for approximating a h2matrix with green's method and ACA based recompression. The resulting clusterbasis will be orthogonal. More...

void	assemble_bem2d_hmatrix (pbem2d bem, pblock b, phmatrix G)
	Fills an hmatrix with a predefined approximation technique. More...

void	assemblecoarsen_bem2d_hmatrix (pbem2d bem, pblock b, phmatrix G)
	Fills an hmatrix with a predefined approximation technique using coarsening strategy. More...

void	assemble_bem2d_h2matrix_row_clusterbasis (pcbem2d bem, pclusterbasis rb)
	This function computes the matrix entries for the nested clusterbasis $V_t \, , t \in \mathcal T_{\mathcal I}$ . More...

void	assemble_bem2d_h2matrix_col_clusterbasis (pcbem2d bem, pclusterbasis cb)
	This function computes the matrix entries for the nested clusterbasis $W_s \, , s \in \mathcal T_{\mathcal J}$ . More...

void	assemble_bem2d_h2matrix (pbem2d bem, pblock b, ph2matrix G)
	Fills an h2matrix with a predefined approximation technique. More...

void	assemblehiercomp_bem2d_h2matrix (pbem2d bem, pblock b, ph2matrix G)
	Fills an h2matrix with a predefined approximation technique using hierarchical recompression. More...

void	assemble_bem2d_lagrange_const_amatrix (const uint *idx, pcavector px, pcavector py, pcbem2d bem, pamatrix V)
	This function will integrate Lagrange polynomials on the boundary domain using piecewise constant basis function and store the results in a matrix `V`. More...

void	assemble_bem2d_dn_lagrange_const_amatrix (const uint *idx, pcavector px, pcavector py, pcbem2d bem, pamatrix V)
	This function will integrate the normal derivatives of the Lagrange polynomials on the boundary domain using piecewise constant basis function and store the results in a matrix `V`. More...

void	assemble_bem2d_lagrange_amatrix (const real(*X)[2], pcavector px, pcavector py, pamatrix V)
	This function will evaluate the Lagrange polynomials in a given point set `X` and store the results in a matrix `V`. More...

void	projectl2_bem2d_const_avector (pbem2d bem, field(rhs)(const real x, const real *n), pavector f)
	Computes the -projection of a given function using piecewise constant basis functions. More...

void	build_bem2d_rect_quadpoints (pcbem2d bem, const real a[2], const real b[2], const real delta, real(Z)[2], real(N)[2])
	Generating quadrature points, weights and normal vectors on a rectangular parameterization. More...

void	build_bem2d_circle_quadpoints (pcbem2d bem, const real a[2], const real b[2], const real delta, real(Z)[2], real(N)[2])
	Generating quadrature points, weights and normal vectors on a circular parameterization. More...

prkmatrix	build_bem2d_rkmatrix (pccluster row, pccluster col, void *data)
	For a block defined by `row` and `col` this function will build a rank-k-approximation and return the rkmatrix. More...

pamatrix	build_bem2d_amatrix (pccluster row, pccluster col, void *data)
	For a block defined by `row` and `col` this function will compute the full submatrix and return an amatrix. More...

Detailed Description

Author: Sven Christophersen

Date: 2011

Data Structures

Typedefs

Enumerations

Functions

Detailed Description