fem2d_heat_rectangle_test

fem2d_heat_rectangle_test, a MATLAB code which calls fem2d_heat_rectangle(), which solves the time-dependent 2D heat equation using the finite element method in space, and a method of lines in time with the backward Euler approximation for the time derivative.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Related Data and Programs:

a MATLAB code which solves the time-dependent 2D heat equation using the finite element method in space, and a method of lines in time with the backward Euler approximation for the time derivative.

• fem2d_heat_rectangle_test.m, calls all the tests.
• fem2d_heat_rectangle_test.sh, runs all the tests.
• fem2d_heat_rectangle_test.txt, the output file.

• elements.png, a PNG image of the elements, for NX = NY = 7 (the picture is hard to read for larger values of NX and NY);
• elements.txt, a text file containing a list, for each element, of the six nodes that compose it;
• nodes.png, a PNG image of the nodes, for NX = NY = 7 (the picture is hard to read for larger values of NX and NY);
• nodes.txt, a text file containing a list, for each node, of its X and Y coordinates;
• time.txt, a text file containing the solution times;
• u0000.txt, the solution U at time step 0;