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[tests.linearelliptic] add more test cases #61

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ftalbrecht opened this issue Jul 8, 2015 · 4 comments
Closed

[tests.linearelliptic] add more test cases #61

ftalbrecht opened this issue Jul 8, 2015 · 4 comments

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@ftalbrecht
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I found another one in the diploma thesis of S. Kaulmann (Section 6.1.1): taking \lambda = \kappa = 1 and f = -q (q - 1) x^{q - 2} on the unit cube in 2d with Dirichlet boundary values g_D = x^q everywhere (for any q \in \N) yields the exact solution p(x) = x^q.

@ftalbrecht
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Another two are in ER2007, page 858 (we already use the 2d one):

  • 1d: exact solution cos(8 pi x)
  • 3d: exact solution cos(8 pi x) cos(8 pi y) cos(8 pi z)

@renefritze
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You've add the ER2007 case since posting. I do think the polynomial one would still be nice though.

@ftalbrecht
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Agreed, will do. Perhaps after #97 is done, recording the results should be nicer then.

@tobiasleibner
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Moved to gitlab.

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