fem1d, a Fortran90 code which applies the finite element method (FEM) to a 1D linear two point boundary value problem (BVP).
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 Fortran90 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 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_lagrange, a Fortran90 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 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 linear two point boundary value problem in a 1D region.
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.
fem1d_sample, a Fortran90 code which samples a scalar or vector finite element function of one variable, defined by FEM files, returning interpolated values at the sample points.