fem1d_adaptive


fem1d_adaptive, a C++ code which applies the finite element method (FEM) 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.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

fem1d_adaptive is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version.

Related Data and Programs:

fem1d_adaptive_test

fem1d, a data directory which contains examples of 1D FEM files, three text files that describe a 1D finite element model;

fem1d, a C++ code which applies the finite element method (FEM) to a linear two point boundary value problem in a 1D region.

fem1d_bvp_linear, a C++ code which applies the finite element method (FEM), with piecewise linear elements, to a two point boundary value problem in one spatial dimension.

fem1d_heat_steady, a C++ code which uses the finite element method to solve the steady (time independent) heat equation in 1D.

fem1d_nonlinear, a C++ code which applies the finite element method to a nonlinear two point boundary value problem in a 1D region.

fem1d_pack, a C++ code which contains utilities for 1D finite element calculations.

fem1d_pmethod, a C++ code which applies the p-method version of the finite element method to a linear two point boundary value problem (BVP) 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.

Reference:

  1. Hans Rudolf Schwarz,
    Finite Element Methods,
    Academic Press, 1988,
    ISBN: 0126330107,
    LC: TA347.F5.S3313..
  2. Gilbert Strang, George Fix,
    An Analysis of the Finite Element Method,
    Cambridge, 1973,
    ISBN: 096140888X,
    LC: TA335.S77.
  3. Olgierd Zienkiewicz,
    The Finite Element Method,
    Sixth Edition,
    Butterworth-Heinemann, 2005,
    ISBN: 0750663200,
    LC: TA640.2.Z54

Source Code:


Last revised on 02 March 2020.