stochastic_heat2d_test

stochastic_heat2d_test, a C++ code which calls stochastic_heat2d() to solve the steady state heat equation in a 2D rectangular region with a stochastic heat diffusivity, using the finite difference method (FDM), and stochastic model from Babuska, Nobile and Tempone, using GNUPLOT to illustrate the results.

Licensing:

The information on this web page is distributed under the MIT license.

Related Data and Programs:

stochastic_heat2d, a C++ code which implements a finite difference method (FDM) for the steady 2D heat equation, with a stochastic heat diffusivity coefficient, using gnuplot to illustrate the results.

Source Code:

• stochastic_heat2d_test.cpp, calls all the tests.
• stochastic_heat2d_test.sh, runs all the tests.
• stochastic_heat2d_test.txt, the output file.

• solution_data.txt graphics data for an image of the solution corresponding to an example selection of OMEGA.
• solution_commands.txt GNUPLOT commands to create an image of the solution corresponding to an example selection of OMEGA.
• solution.png an image of the solution corresponding to an example selection of OMEGA.
• umean_data.txt graphics data to create an image of mean temperature as a function of OMEGA(1) and OMEGA(2).
• umean_commands.txt GNUPLOT commands to create an image of mean temperature as a function of OMEGA(1) and OMEGA(2).
• umean.png an image of mean temperature as a function of OMEGA(1) and OMEGA(2).