mitchell
mitchell_03,
a FreeFem++ code which
sets up and solves Mitchell's test problem #3, "linear elasticity",
two coupled equations with a mixed derivative in the coupling term,
defined on the [-1,+1]x[-1,+1] square, with a slit from (0,0) to (1,0),
using parameter values nu = 0.3, E = 1, lambda, and Q.
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:
mitchell_03a defines the "linear elasticity" problem,
a coupled system of two equations with a mixed derivative in the coupling term,
defined on the [-1,+1]x[-1,+1] square, with a slit from (0,0) to (1,0),
using parameter values nu = 0.3, E = 1, lambda = 0.5444837367825,
Q = 0.5430755788367.
mitchell_03b defines the "linear elasticity" problem,
a coupled system of two equations with a mixed derivative in the coupling term,
defined on the [-1,+1]x[-1,+1] square, with a slit from (0,0) to (1,0),
using parameter values nu = 0.3, E = 1, lambda = 0.9085291898461,
Q = -0.2189232362488.
Last revised on 24 May 2020.