fem1d_adaptive, a FORTRAN90 code which applies the finite element method to a linear two point boundary value problem in one spatial dimension, using adaptive refinement to estimate the error, refine the mesh, and produce an improved solution.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
fem1d_adaptive is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
FEM1D, a data directory which contains examples of 1D FEM files, three text files that describe a 1D finite element model;
FEM1D, a FORTRAN90 code which applies the finite element method to a 1D linear two point boundary value problem.
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_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 1D linear two point boundary value problem.
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.