fem1d, a MATLAB code which applies the finite element method (FEM) to a linear two point boundary value problem (BVP) in one spatial dimension.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
fem1d is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
bvp4c_test, a MATLAB code which illustrates how to use the MATLAB command bvp4c(), which can solve boundary value problems (BVP's) in one spatial dimension.
fem1d, a data directory which contains examples of 1D FEM files, three text files that describe a 1D finite element model;
fem1d_adaptive, a MATLAB code which applies the finite element method to a linear two point boundary value problem in a 1D region, using adaptive refinement to improve the solution.
fem1d_bvp_linear, a MATLAB code which applies the finite element method, with piecewise linear elements, to a two point boundary value problem in one spatial dimension.
fem1d_display, a MATLAB code which reads three files defining a 1D arbitrary degree finite element function, and displays a plot.
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_lagrange, a MATLAB code which sets up the matrices and vectors associated with the finite element method (FEM) solution of a boundary value problem (BVP) -u''+u=f(x), using Lagrange basis polynomials.
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.