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

    1. Frederic Hecht,
      New development in FreeFem++,
      Journal of Numerical Mathematics,
      Volume 20, Number 3-4, 2012, pages 251-265.
    2. 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.
    3. 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.