FEM1D, a C++ program which applies the finite element method (FEM) to a linear two point boundary value problem (BVP) in one spatial dimension.
The computer code 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.
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++ program 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++ program 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 C++ program which uses the finite element method to solve the steady (time independent) heat equation in 1D.
FEM1D_LAGRANGE, a C++ library 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++ program which applies the finite element method to a nonlinear two point boundary value problem in a 1D region.
FEM1D_PACK, a C++ library which contains utilities for 1D finite element calculations.
FEM1D_PMETHOD, a C++ program 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++ program 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++ program which samples a scalar or vector finite element function of one variable, defined by FEM files, returning interpolated values at the sample points.