fem3d_project_test

fem3d_project_test, a Fortran90 code which calls fem3d_project(), which projects a finite element function.

Licensing:

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

Related Data and Programs:

fem3d_project, a Fortran90 program which projects data into a finite element space, including the least squares approximation of data, or the projection of a finite element solution from one mesh to another.

Source Code:

• fem3d_project_test.sh, runs all the tests.
• fem3d_project_test.txt, the output file.

LINEAR starts with sample data for the vector function f(x)=[ 1, 2x, 3y, 4z ], on an 8x8x8 grid of equally spaced nodes from [0.0,8.0]x[0.0,8.0], and projects this onto a piecewise linear finite element meshes defined on equally spaced grids of dimension 4x4x4, 2x2x2 and 1x1x1.

• r8x8x8_t3_nodes.txt, the sample nodes, on an 8x8x8 grid.
• r8x8_t4_elements.txt, elements that can be used to form an 8x8x8 finite element mesh associated with the sample data. This is provide only so that a finite element function can be formed with the original sample data.
• r8x8_t4_values.txt, the sample nodal values.
• r4x4x4_t4_nodes.txt, the FEM nodes for a 4x4x4 grid.
• r4x4x4_t4_elements.txt, the FEM elements for a 4x4x4 grid.
• r4x4x4_t4_values.txt, the nodal values as projected from the 8x8x8 grid.
• r2x2x2_t4_nodes.txt, the FEM nodes for a 2x2x2 grid.
• r2x2x2_t4_elements.txt, the FEM elements for a 2x2x2 grid.
• r2x2x2_t4_values.txt, the nodal values as projected from the 8x8x8 grid.
• r1x1x1_t4_nodes.txt, the FEM nodes for a 1x1x1 grid.
• r1x1x1_t4_elements.txt, the FEM elements for a 1x1x1 grid.
• r1x1x1_t4_values.txt, the nodal values as projected from the 8x8x8 grid.