greencross.h File Reference

#include "curve2d.h"
#include "h2matrix.h"
#include "surface3d.h"

Go to the source code of this file.

Data Structures
struct	_greencross
	Main container object for performing the Green cross approximation method. More...

Typedefs
typedef struct _greencross	greencross
	greencross is just an abbreviation for the struct _greencross. More...
typedef greencross *	pgreencross
	Pointer to a greencross object. More...
typedef const greencross *	pcgreencross
	Pointer to a constant greencross object. More...

Functions
HEADER_PREFIX void	init_greencross (pgreencross gc, uint dim)
	Initilize components related to the dimension of the problem and zero initializes all other components of the given greencross object gc. More...
HEADER_PREFIX void	uninit_greencross (pgreencross gc)
	Uninitilize a greencross object. More...
HEADER_PREFIX pgreencross	new_laplace2d_greencross (pcurve2d c2d, uint res, void *eta, uint q, uint m)
	Prepares a greencross object for approximating the integral equation \( \int\limits_{\Omega} -\frac{1}{2 \pi} \log{\left \Vert x - y \right \Vert_2} u(y) dy = f(x) \), where \(\Omega \subset \mathbb{R}^2 \). More...
HEADER_PREFIX void	del_greencross (pgreencross gc)
	Free memory and set pointer to NULL of the corresponding _greencross greencross object gc. More...
HEADER_PREFIX void	nearfield_greencross (pcgreencross gc, const uint rsize, const uint *ridx, const uint csize, const uint *cidx, pamatrix G)
	Constructs the matrix resulting from the Galerkin discretization of a variational formulation described in gc. More...
HEADER_PREFIX void	fill_green_left_greencross (pcgreencross gc, pccluster t, pamatrix A)
HEADER_PREFIX void	fill_green_right_greencross (pcgreencross gc, pccluster t, pccluster s, pamatrix B)
HEADER_PREFIX void	green_cross_approximation (pcgreencross gc, ph2matrix H2)
	Constructs a Green cross approximation of a problem given by a greencross, represented as an \(\mathcal{H}^{2}\)-Matrix [1]. More...

Variables
const uint	greencross_min_dim = 2
const uint	greencross_max_dim = 3

Detailed Description

Author

Bennet Carstensen

Date

2017

Copyright

All rights reserved, Bennet Carstensen 2017