fem3d_sample_test

fem3d_sample_test, a MATLAB code which calls fem3d_sample(), which evaluates a finite element function of a 3D argument.

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:

fem3d_sample, a MATLAB code which evaluates a finite element function defined on 3D tetrahedral mesh.

Source Code:

• fem3d_sample_test.m, calls all the tests.
• fem3d_sample_test.sh, runs all the tests.
• fem3d_sample_test.txt, the output file.

SQ is FEM data for the function f(x,y,z)=x^2+2*y^2-z^2, on a 5x5x5 grid of nodes in the cube [0,4]x[0,4]x[0,4], organized into linear linear tetrahedrons. The sample data seeks the values of this function on a 4x4x4 evenly spaced grid.

• fem_sq_nodes.txt, defines the FEM nodes.
• fem_sq_elements.txt, defines the FEM elements.
• fem_sq_values.txt, defines the FEM nodal values.
• sample_sq_nodes.txt, defines the sample nodes.
• sample_sq_values.txt, defines the sample nodal values.
• sample_sq_values_exact.txt, the exact values of the function at the sample nodes. This should be compared with the values determined from the FEM function.