fem1d_sample, a FORTRAN90 code which can evaluate a finite element function of a 1D argument.
The current version of the code can only handle finite element meshes which are made of piecewise constant or piecewise linear basis functions.
fem1d_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.
fem1d_sample is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
FEM1D, a data directory which contains examples of 1D FEM files, three text files that describe a 1D finite element model;
FEM1D, a FORTRAN90 code which applies the finite element method to a 1D linear two point boundary value problem.
FEM1D_ADAPTIVE, a FORTRAN90 code which applies the finite element method to a 1D linear two point boundary value problem using adaptive refinement to improve the solution.
FEM1D_BVP_LINEAR, a FORTRAN90 code which applies the finite element method, with piecewise linear elements, to a two point boundary value problem in one spatial dimension.
FEM1D_HEAT_STEADY, a FORTRAN90 code which uses the finite element method to solve the steady (time independent) heat equation in 1D.
FEM1D_NONLINEAR, a FORTRAN90 code which applies the finite element method to a 1D nonlinear two point boundary value problem.
FEM1D_PACK, a FORTRAN90 code which contains utilities for 1D finite element calculations.
FEM1D_PMETHOD, a FORTRAN90 code which applies the p-method version of the finite element method to a 1D linear two point boundary value problem.
FEM1D_PROJECT, a FORTRAN90 code 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.
FEM2D_SAMPLE, a FORTRAN90 code which evaluates a finite element function defined on an order 3 or order 6 triangulation.
FEM3D_SAMPLE, a FORTRAN90 code which evaluates a finite element function defined on 3D tetrahedral mesh.
HISTOGRAM_DATA_2D_SAMPLE, a FORTRAN90 code 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.
PIECEWISE_LINEAR_PRODUCT_INTEGRAL, a FORTRAN90 code which calculates the exact value of the integral of the product of two piecewise linear functions F(X) and G(X).