Some problems of mathematical physics.


Classes

class  Baroclin
 Solve the two-dimensional baroclinic atmosphere equations. More...
class  BarVortex
 Solve the Barotropic vorticity equation. More...
class  SphereJacobian
 Calculate the jacobian on a sphere. More...
class  SphereNorm
 A fast spherical norm calculator. More...
class  SphereLaplace
 Spherical Laplace operator. More...
class  SphereChafe
 Chafe-Infante equation on sphere. More...
class  Laplace
 Laplace operator on a flat domain. More...
class  Chafe
 Chafe-Infante equation on flat domain. More...

Functions

double slaplace (const Polynom &phi_i, const Polynom &phi_j, const Triangle &trk, const Mesh::points_t &ps)
 Calculate one element of finite-element matrix for spheric Laplace operator.
double laplace (const Polynom &phi_i, const Polynom &phi_j, const Triangle &trk, const Mesh::points_t &ps)
 Calculate one element of finite-element matrix for Laplace operator on flat domain.

Function Documentation

double laplace ( const Polynom phi_i,
const Polynom phi_j,
const Triangle trk,
const Mesh::points_t &  ps 
)

Calculate one element of finite-element matrix for Laplace operator on flat domain.

Parameters:
phi_i - basis function
phi_j - basis function
trk - integral is taken over that triangle
ps - mesh points
Examples:
test_system_laplace.cpp.

double slaplace ( const Polynom phi_i,
const Polynom phi_j,
const Triangle trk,
const Mesh::points_t &  ps 
)

Calculate one element of finite-element matrix for spheric Laplace operator.

Parameters:
phi_i - basis function
phi_j - basis function
trk - integral is taken over that triangle
ps - mesh points


Phelm Library
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