test_bdf.hpp File Reference

Simple Fourier test with Dirichlet Boundary condition. More...

#include <lifev/core/LifeV.hpp>

Include dependency graph for test_bdf.hpp:

This graph shows which files directly or indirectly include this file:

Go to the source code of this file.

Data Structures
class	test_bdf

Detailed Description

Simple Fourier test with Dirichlet Boundary condition.

Author

Umberto Villa uvill.nosp@m.a@em.nosp@m.ory.e.nosp@m.du

Date

14-04-2010

Solve the problem

  \partial_t u - \nu(t) \Delta u + sigma(t) u = f(t)

           u = g on the boundary
               u(t=0) = u0 initial condition

   on a cube
   \nu, \sigma and \source can be function of time
   (which implies that the matrix needs to be reassembled each time)

Purpose: Test BDF of different order

The analytical solution used in the test is quadratic both in space and time. Therefore a second order approximation in space + BDF2 should provide a solution exact up to the tolerance of the linear system.

Definition in file test_bdf.hpp.