fem1d_adaptive


fem1d_adaptive, a MATLAB 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 GNU LGPL 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:

fem_neumann, a MATLAB code which sets up a time-dependent reaction-diffusion equation in 1d, with neumann boundary conditions, discretized using the finite element method.

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

fem1d, a MATLAB code which applies the finite element method to a linear two point boundary value problem in a 1d region.

fem1d_adaptive_test, a MATLAB code which applies the finite element method (fem) to a 1d linear two point boundary value problem (bvp) using adaptive refinement to improve the solution.

fem1d_function_10_display, a MATLAB code which reads a prefix defining three finite element data files, reads the data, samples the finite element function, and displays a plot.

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

fem1d_pmethod, a MATLAB 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_sample, a MATLAB code which samples a scalar or vector finite element function of one variable, defined by fem files, returning interpolated values at the sample points.

piecewise_linear_product_integral, a MATLAB code which calculates the exact value of the integral of the product of two piecewise linear functions f(x) and g(x).

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 17 January 2019.