fem1d_adaptive


fem1d_adaptive, a C++ 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.

Licensing:

The computer code and data files described and made available on this web page are 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.

Related Data and Programs:

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 to a linear two point boundary value problem in a 1D region.

fem1d_adaptive_test

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_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 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.