mitchell_01
mitchell_01,
a FreeFem++ code which
sets up and solves Mitchell's test problem #1, the analytic solution,
a Poisson equation on the [0,+1]x[0,+1] square, with zero Dirichlet
boundary conditions.
Licensing:
The computer code and data files described and made available on this web page
are distributed under
the MIT license
Reference:
A web site at NIST describes these and many other problems:
http://math.nist.gov/amr-benchmark/index.html
-
Frederic Hecht,
New development in FreeFem++,
Journal of Numerical Mathematics,
Volume 20, Number 3-4, 2012, pages 251-265.
-
William Mitchell,
A collection of 2D elliptic problems for testing adaptive
grid refinement algorithms,
Applied Mathematics and Computation,
Volume 220, 1 September 2013, pages 350-364.
-
Pedro Morin, Ricardo Nochetto, Kunibert Siebert,
Data oscillation and convergence of adaptive FEM,
SIAM Journal on Numerical Analysis,
Volume 38, Number 2, 2000, pages 466-488.
Source code
Last revised on 24 May 2020.