laplacian3.h File Reference

Helper routines for reordering/filling 3D structured grids. Used by many unit tests. More...

#include <myramath/MYRAMATH_EXPORT.h>
#include <myramath/utility/Number.h>
#include <utility>
#include <vector>

Include dependency graph for laplacian3.h:

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Classes
class	myra::SparseMatrix< Number >
	Stores an IxJ matrix A in compressed sparse column format. More...
class	myra::Natural3D
	A helper class that generates a natural ordering on a 3D structured grid of size IxJxK. More...

Functions
Pattern	myra::stencil3 (int I, int J, int K)
	Returns the Pattern of 7-point stencil on a 3D structured grid of size IxJxK.
template<class Number >
SparseMatrix< Number >	myra::laplacian3 (int I, int J, int K)
	Returns the graph laplacian of a 3D structured grid of size IxJxK.
template<>
SparseMatrix< NumberS >	myra::laplacian3< NumberS > (int I, int J, int K)
template<>
SparseMatrix< NumberD >	myra::laplacian3< NumberD > (int I, int J, int K)
template<>
SparseMatrix< NumberC >	myra::laplacian3< NumberC > (int I, int J, int K)
template<>
SparseMatrix< NumberZ >	myra::laplacian3< NumberZ > (int I, int J, int K)
Permutation	myra::bisect3 (int I, int J, int K)
	Reorders stencil3() / laplacian3() unknowns using nested bisection.
Pattern	myra::stencil3_unsymmetric (int I, int J, int K, double density=0.5)
	Like stencil3(), but with entries randomly dropped to make it unsymmetric.

Detailed Description

Helper routines for reordering/filling 3D structured grids. Used by many unit tests.