FEM3D_SAMPLE is a MATLAB program which can evaluate a finite element function of a 3D argument.
The current version of the program can only handle tetrahedral finite element meshes using linear basis functions.
The current version of the program uses a NAIVE search algorithm to locate points within the mesh. It is intended that this search algorithm be replaced by a Delaunay search.
fem3d_sample ( 'fem_prefix', 'sample_prefix' )where 'fem_prefix' is the common prefix for the FEM files:
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
FEM3D_SAMPLE is available in a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.
FEM_IO, a MATLAB library which reads or writes node, element and data files defining a finite element model.
FEM1D_SAMPLE, a MATLAB program which samples a scalar or vector finite element function of one variable, defined by FEM files, returning interpolated values at the sample points.
FEM2D_SAMPLE, a MATLAB program which samples a scalar or vector finite element function of 2 variables defined by FEM files, returning interpolated values at the sample points.
FEM3D, a data directory which contains examples of 3D FEM files, three text files that describe a 3D finite element geometry;
FEM3D_PACK, a MATLAB library which contains utilities for 3D finite element calculations.
FEM3D_PROJECT, a MATLAB program which projects a function F(X,Y,Z), given as a data, into a given finite element space of piecewise linear tetrahedral elements.
HISTOGRAM_DATA_2D_SAMPLE, a MATLAB program which demonstrates how to construct a Probability Density Function (PDF) from a frequency table over a 2D domain, and then to use that PDF to create new samples.
HISTOGRAM_PDF_SAMPLE, a MATLAB library which demonstrates how sampling can be done by starting with the formula for a PDF, creating a histogram, constructing a histogram for the CDF, and then sampling.
REJECTION_SAMPLE, a MATLAB library which demonstrates acceptance/rejection sampling.
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.
You can go up one level to the MATLAB source codes.