mitchell_02

mitchell01, a FreeFem++ code which sets up and solves Mitchell's test problem #2, the reentrant corner, trying 5 different values for the angle.

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_02A defines the "reentrant corner" problem, using an angle of OMEGA = PI + 0.01.

• mitchell_02a.edp, the input file.
• mitchell_02a.sh, runs FreeFem++ on the input file.
• mitchell_02a.txt, the output file.
• mitchell_02a_mesh.png, a PNG image of the mesh.
• mitchell_02a_u.png, a PNG image of a contour plot of the solution.

mitchell_02B defines the "reentrant corner" problem, using an angle of OMEGA = 5 PI /4.

• mitchell_02b.edp, the input file.
• mitchell_02b.sh, runs FreeFem++ on the input file.
• mitchell_02b.txt, the output file.
• mitchell_02b_mesh.png, a PNG image of the mesh.
• mitchell_02b_u.png, a PNG image of a contour plot of the solution.

mitchell_02C defines the "reentrant corner" problem, using an angle of OMEGA = 6 PI /4.

• mitchell_02c.edp, the input file.
• mitchell_02c.sh, runs FreeFem++ on the input file.
• mitchell_02c.txt, the output file.
• mitchell_02c_mesh.png, a PNG image of the mesh.
• mitchell_02c_u.png, a PNG image of a contour plot of the solution.

mitchell_02D defines the "reentrant corner" problem, using an angle of OMEGA = 7 PI /4.

• mitchell_02d.edp, the input file.
• mitchell_02d.sh, runs FreeFem++ on the input file.
• mitchell_02d.txt, the output file.
• mitchell_02d_mesh.png, a PNG image of the mesh.
• mitchell_02d_u.png, a PNG image of a contour plot of the solution.

mitchell_02E defines the "reentrant corner" problem, using an angle of OMEGA = 8 PI /4.

• mitchell_02e.edp, the input file.
• mitchell_02e.sh, runs FreeFem++ on the input file.
• mitchell_02e.txt, the output file.
• mitchell_02e_mesh.png, a PNG image of the mesh.
• mitchell_02e_u.png, a PNG image of a contour plot of the solution.