fem1d_adaptive, a MATLAB code which applies the finite element method to a linear two point boundary value problem in one spatial dimension, using adaptive refinement to estimate the error, refine the mesh, and produce an improved solution.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
fem1d_adaptive is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
fem_neumann, a MATLAB code which sets up a time-dependent reaction-diffusion equation in 1d, with neumann boundary conditions, discretized using the finite element method.
fem1d, a data directory which contains examples of 1d fem files, three text files that describe a 1d finite element model;
fem1d, a MATLAB code which applies the finite element method to a linear two point boundary value problem in a 1d region.
fem1d_adaptive_test, a MATLAB code which applies the finite element method (fem) to a 1d linear two point boundary value problem (bvp) using adaptive refinement to improve the solution.
fem1d_function_10_display, a MATLAB code which reads a prefix defining three finite element data files, reads the data, samples the finite element function, and displays a plot.
fem1d_nonlinear, a MATLAB code which applies the finite element method to a nonlinear two point boundary value problem in a 1d region.
fem1d_pmethod, a MATLAB code which applies the p-method version of the finite element method to a linear two point boundary value problem in a 1d region.
fem1d_sample, a MATLAB code which samples a scalar or vector finite element function of one variable, defined by fem files, returning interpolated values at the sample points.
piecewise_linear_product_integral, a MATLAB code which calculates the exact value of the integral of the product of two piecewise linear functions f(x) and g(x).