L-shape

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The Matlab logo is the first eigenfunction solved on an L-shape

An L-Shape or L-Shaped Domain is an area or an area that is often used in the numerics of partial differential equations to test a problem (so-called benchmark problem ). The area is characterized by the fact that it has six corners and is reminiscent of the letter L (possibly rotated or mirrored) . In addition, the L-shape is not a convex set . Some partial differential equations have a singularity at the origin where the re-entrant corner is , which is an additional problem in solving these equations.

Individual evidence

  1. ^ Howard C. Elman, David J. Silvester, and Andrew J. Wathen: Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics . 2005, ISSN  1749-9097 , p. 11 ff . ( man.ac.uk [PDF]).