fem1d_sample


fem1d_sample, a Fortran90 code which can evaluate a finite element function of a 1D argument.

The current version of the code can only handle finite element meshes which are made of piecewise constant or piecewise linear basis functions.

Usage:

fem1d_sample fem_prefix sample_prefix
where fem_prefix is the common prefix for the FEM files: and sample_prefix is the common prefix for the SAMPLE files, for which the node file is input, and the values file is created by the code:

Licensing:

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

Languages:

fem1d_sample 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 codes:

fem1d_sample_test

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_adaptive, a Fortran90 code which applies the finite element method to a 1D linear two point boundary value problem using adaptive refinement to improve the solution.

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.

fem2d_sample, a Fortran90 code which evaluates a finite element function defined on an order 3 or order 6 triangulation.

fem3d_sample, a Fortran90 code which evaluates a finite element function defined on 3D tetrahedral mesh.

histogram_data_2d_sample, a Fortran90 code which demonstrates how to construct a Probability Density Function (PDF) from a frequency table over a 2D domain, and then to use that PDF to create new samples.

pwl_product_integral, a Fortran90 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 07 July 2020.