Implementation details for Brusselator_scheme::pattern_loop(). More...

#include <brusselator_algo_impl.h>

Collaboration diagram for Esfem::Pattern_helper:

[legend]

Public Member Functions
	Pattern_helper (Brusselator_scheme &)

void	finalize_scalarPDE_rhs ()

void	solve_scalarPDE ()
	New value for member `fun` from `Brusselator_scheme::fef.u` and `Brusselator_scheme::fef.w` More...

void	update_exactSolutions ()
	Interpolate exact solutions scalar and vector valued PDE. More...

void	plot_paraview ()
	Prints out `fun` of `Brusselator_scheme::fef.u` and `Brusselator_scheme::fef.w`. More...

Private Attributes
Brusselator_scheme &	bs
	Contains numerical solution. More...

const Grid::Grid_and_time	grid
	Temporally grid, hence `const` brief More...

Grid::Scal_FEfun_set	u
	`fef.u` on `grid`

Grid::Scal_FEfun_set	w
	`fef.w` on `grid`

Io::L2H1_calculator	norm
	Norms on the calculated Grid.

Io::Paraview	paraview
	Has reference to member `u.fun` and `w.fun`.

Scalar_solver	solver
	Solver for `u` and `w`

Rhs	load_vector
	Provides assembly and add_scaled methods.

Detailed Description

Implementation details for Brusselator_scheme::pattern_loop().

Definition at line 223 of file brusselator_algo_impl.h.

Constructor & Destructor Documentation

Pattern_helper::Pattern_helper ( Brusselator_scheme & bs_input )

explicit

Todo:: scalar valued rhs is missing

Definition at line 181 of file brusselator_algo_impl.cpp.

Member Function Documentation

void Pattern_helper::finalize_scalarPDE_rhs ( )

Definition at line 195 of file brusselator_algo_impl.cpp.

void Esfem::Pattern_helper::plot_paraview ( )

inline

Prints out fun of Brusselator_scheme::fef.u and Brusselator_scheme::fef.w.

Definition at line 280 of file brusselator_algo_impl.h.

void Pattern_helper::solve_scalarPDE ( )

New value for member fun from Brusselator_scheme::fef.u and Brusselator_scheme::fef.w

We assume that the rhs_les has been prepared with finalize_rhs(). The vaule of fun will be overwritten with the solution of the following system for $u$ and $w$ :

$\begin{gather*} (1+ \tau \gamma) (M\nodalValue{u})^{n+1} + \tau (A \nodalValue{u})^{n+1} - \tau \gamma M^{n+1}(\nodalValue{u}^n, \nodalValue{w}^n) \nodalValue{u}^{n+1} = \nodalValue{y}_{1}, \\ (M\nodalValue{w})^{n+1} + \tau D_c (A \nodalValue{w})^{n+1} + \tau \gamma M^{n+1}(\nodalValue{u}^{n+1}, \nodalValue{u}^{n+1}) \nodalValue{w}^{n+1} = \nodalValue{y}_{2}, \end{gather*}$

where $\nodalValue{y}_{1,2}$ the right-hand side of the system is.

Definition at line 201 of file brusselator_algo_impl.cpp.

void Pattern_helper::update_exactSolutions ( )

Interpolate exact solutions scalar and vector valued PDE.

Roughly I interpolate the ESFEM solution on the exact grid and then assign nodal values to the current grid.

Definition at line 209 of file brusselator_algo_impl.cpp.

Member Data Documentation

Brusselator_scheme& Esfem::Pattern_helper::bs

private

Contains numerical solution.

Definition at line 241 of file brusselator_algo_impl.h.

const Grid::Grid_and_time Esfem::Pattern_helper::grid

private

Temporally grid, hence const brief

brief

Definition at line 242 of file brusselator_algo_impl.h.

The documentation for this class was generated from the following files:

src/brusselator_algo_impl.h
src/brusselator_algo_impl.cpp

Public Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation