biharmonic_fd2d

biharmonic_fd2d, a Fortran77 code which solves a version of the biharmonic equation in two dimensions, by Petter Bjorstad.

The equation has the form: 

     u    + 2*u    + u    + alpha*(u  +u  ) + beta*u = f(x,y)
      xxxx     xxyy   yyyy         xx  yy

I could not get this code to run properly on a simple test case! JVB, 31 May 2021.

Licensing:

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

Languages:

biharmonic_fd2d is available in a Fortran77 version and a MATLAB version and an Octave version.

Related Data and Programs:

biharmonic_fd2d_test

Author:

Petter Bjorstad

Reference:

  1. Petter Bjorstad,
    Numerical solution of the biharmonic equation,
    PhD dissertation,
    Stanford University, 1980.
  2. Petter Bjorstad,
    Fast numerical solution of the biharmonic Dirichlet problem on rectangles,
    SIAM Journal on Numerical Analysis,
    Volume 20, Number 1, pages 59-71, 1983.

Source Code:

Last revised on 31 May 2021.