FEM2D_SAMPLE is a FORTRAN90 program which can evaluate a finite element function of a 2D argument.
The current version of the program can only handle finite element meshes which are made of piecewise linear triangles of order 3 or 6.
fem2d_sample fem_prefix sample_prefixwhere 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.
FEM2D_SAMPLE is available in a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.
FEM_BASIS_T3_DISPLAY, a MATLAB program which displays a basis function associated with a linear triangle ("T3") mesh.
FEM_BASIS_T6_DISPLAY, a MATLAB program which displays a basis function associated with a quadratic triangle ("T6") mesh.
FEM_IO, a FORTRAN90 library which reads or writes node, element and data files defining a finite element model.
FEM_TO_TEC, a MATLAB program which converts FEM models into TEC graphics files.
FEM1D_SAMPLE, a FORTRAN90 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, a data directory which contains examples of 2D FEM files, text files that describe a 2D finite element geometry and associated nodal values;
FEM2D_HEAT, a FORTRAN90 program which solves the 2D time dependent heat equation on the unit square.
FEM2D_PACK, a FORTRAN90 library which contains utilities for 2D finite element calculations.
FEM2D_POISSON, a FORTRAN90 program which solves the 2D Poisson equation on a square, using the finite element method.
FEM2D_PROJECT, a FORTRAN90 program which projects a function F(X,Y) into a given finite element space of piecewise linear triangular elements.
FEM3D_SAMPLE, a FORTRAN90 program which samples a finite element function of three variables, returning interpolated values at the sample points.
HISTOGRAM_DATA_2D_SAMPLE, a FORTRAN90 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.
MESH_BANDWIDTH, a FORTRAN90 program which returns the geometric bandwidth associated with a mesh of elements of any order and in a space of arbitrary dimension.
TRIANGULATION_ORDER3, a data directory which contains a description and examples of how an order 3 (linear) triangulation is defined by a node and element file.
TRIANGULATION_ORDER6, a data directory which contains a description and examples of how an order 6 (quadratic) triangulation is defined by a node and element file.
TRIANGULATION_ORDER6_CONTOUR, a MATLAB program which makes contours of a scalar quantity defined on the nodes of an order 6 triangulation.
SQ is FEM data for the function f(x,y)=x^2+y^2, on a 5x5 grid of nodes, organized into linear triangles. The sample data seeks the values of this function on a 4x4 evenly spaced grid.
You can go up one level to the FORTRAN90 source codes.