mitchell_12
mitchell_12,
a FreeFem++ code which
sets up and solves Mitchell's problem 12, "multiple difficulties".
I have not gotten this problem set up!
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.
Examples and Tests:
mitchell_12 defines the "multiple difficulties" problem,
on the "upside down L" shaped region.
Last revised on 26 May 2020.