fem1d, an Octave 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 MIT license
fem1d is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.
fem1d, a data directory which contains examples of 1D FEM files, three text files that describe a 1D finite element model;
fem1d_adaptive, an Octave 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, an Octave code which applies the finite element method, with piecewise linear elements, to a two point boundary value problem in one spatial dimension.
fem1d_display, an Octave code which reads three files defining a 1D arbitrary degree finite element function, and displays a plot.
fem1d_function_10_display, an Octave 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, an Octave 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, an Octave code which applies the finite element method to a nonlinear two point boundary value problem in a 1D region.
fem1d_pmethod, an Octave 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, an Octave code which samples a scalar or vector finite element function of one variable, defined by FEM files, returning interpolated values at the sample points.