phelm Namespace Reference

This namespace contains all Phelm functions and classes. More...

Classes
struct	Point
	Point class represents a 2-dimensional point on a plane. More...
struct	MeshPoint
	A point of a manifold can be included into multiple subdomains. More...
struct	Triangle
	Triangle class. More...
struct	Mesh
	Mesh class. More...
struct	Element
	Destination of this structure is finite-element matrix changing. More...
struct	Polynom
	Polynom of variables (x, y). More...
class	Matrix
	Matrix class. More...
Typedefs
typedef double(*	x_t )(double u, double v)
	callback that converts local coordinates to global coordinates.
typedef double(*	f_xy_t )(double x, double y)
	Function.
typedef double(*	f_xyt_t )(double x, double y, double t)
	Function.
typedef std::vector< Element >	elements_t
	Elements vector.
Functions
void	print_inner_function (FILE *to, double *ans, const Mesh &m, x_t x=0, x_t y=0, x_t z=0)
	Print the inner part of a mesh function to file.
void	print_inner_function (const char *to, double *ans, const Mesh &m, x_t x=0, x_t y=0, x_t z=0)
	Print the inner part of a mesh function to file.
void	print_function (FILE *to, double *ans, const Mesh &m, x_t x=0, x_t y=0, x_t z=0)
	Print a mesh function to file.
void	print_function (const char *fname, double *ans, const Mesh &m, x_t x=0, x_t y=0, x_t z=0)
	Print a mesh function to file.
void	solve (double *answer, const double *bnd, double *rp, Matrix &A, const Mesh &m)
	Solve the system with A matrix (Ax=rp).
void	solve2 (double *answer, double *rp, Matrix &A, const Mesh &m)
	Solve the system with A matrix (Ax=rp).
void	p2u (double *u, const double *p, const double *bnd, const Mesh &m)
	Add boundary conditions to p.
void	u2p (double *p, const double *u, const Mesh &m)
	Remove boundary conditions from u.
void	set_bnd (double *F, const double *bnd, const Mesh &m)
	Set the boundary value of vector F.
double	generic_scalar_cb (const Polynom &phi_i, const Polynom &phi_j, const Triangle &trk, const Mesh &m, int i1, int j1, int i2, int j2, void *user_data)
	Calculate inner product of two basis functions on flat domain.
double	sphere_scalar_cb (const Polynom &phi_i, const Polynom &phi_j, const Triangle &trk, const Mesh &m, int i1, int j1, int i2, int j2, void *user_data)
	Calculate inner product of two basis functions on sphere.
double	fast_scalar (const double *u, const double *v, const Mesh &m, Matrix &mat)
	Fast mesh inner product calculator.
double	fast_norm (const double *u, const Mesh &m, Matrix &mat)
	Fast mesh norm calculator.
double	fast_dist (const double *u, const double *v, const Mesh &m, Matrix &mat)
	Fast mesh distance calculator.
void	proj (double *F, const Mesh &mesh, f_xy_t f)
	Project function f(x,y) to the mesh.
void	proj_bnd (double *F, const Mesh &m, f_xy_t f)
	Project function f(x,y) to the boundary of the mesh.
void	proj_bnd (double *F, const double *F1, const Mesh &m)
	Project vector F1 to the boundary of the mesh.
void	proj (double *F, const Mesh &mesh, f_xyt_t f, double t)
	Project function f(x,y,t) to the mesh.
void	proj_bnd (double *F, const Mesh &m, f_xyt_t f, double t)
	Project function f(x,y,t) to the boundary of the mesh.
template<typename Functor , typename Data >
void	generate_matrix (Matrix &A, const Mesh &m, Functor integrate_cb, Data user_data, bool transpose=false)
	Generate finite element matrix.
template<typename Functor , typename Data >
void	generate_full_matrix (Matrix &A, const Mesh &m, Functor integrate_cb, Data user_data, bool transpose=false)
	Generate full finite-elements matrix.
template<typename Functor , typename Data >
void	generate_right_part (double *b, const Mesh &m, Functor right_part_cb, Data user_data)
	Generate right part.
template<typename Functor , typename Data >
void	generate_full_right_part (double *b, const Mesh &m, Functor right_part_cb, Data user_data)
	Generate full right part.
template<typename Functor , typename Data >
void	generate_boundary_matrix (Matrix &A, const Mesh &m, Functor right_part_cb, Data user_data, bool transpose=false)
	Generate boundary conditions matrix.
template<typename Functor , typename Data >
void	convolution (double *ans, const double *u, const double *v, const Mesh &m, Functor cb, Data user_data)
	Convolution.
template<typename Functor , typename Data >
double	scalar (const double *u, const double *v, const Mesh &m, Functor cb, Data user_data)
	Calculate inner product of two mesh vectors.
template<typename Functor , typename Data >
void	generate_scalar_matrix (Matrix &mat, const Mesh &m, Functor cb, Data user_data)
	Create matrix for fast inner product computation.
template<typename Functor , typename Data >
double	norm (const double *u, const Mesh &m, Functor cb, Data user_data)
	Calculate norm of mesh vector.
double	norm (const double *u, const Mesh &m)
	Calculate norm of mesh vector on flat domain.
template<typename Functor , typename Data >
double	dist (const double *u, const double *v, const Mesh &m, Functor cb, Data user_data)
	Calculate distance between two mesh vectors.
double	dist (const double *u, const double *v, const Mesh &m)
	Calculate distance between two mesh vectors on flat domain.

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Detailed Description

This namespace contains all Phelm functions and classes.