fem1d, a C code which applies the finite element method (FEM) to a linear two point boundary value problem in one spatial dimension.
The information on this web page is 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, a C 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 C code which applies the finite element method, with piecewise linear elements, to a two point boundary value problem in one spatial dimension.
fem1d_lagrange, a C 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 C code which applies the finite element method to a nonlinear two point boundary value problem in a 1D region.
fem1d_pmethod, a C 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_project, a C 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.
fem1d_sample, a C code which samples a scalar or vector finite element function of one variable, defined by FEM files, returning interpolated values at the sample points.
fem2d_heat, a C++ program which solves the time dependent heat equation on the unit square.
fem2d_poisson, a C++ program which solves Poisson's equation on a square, using the finite element method.