The singular complement method for 2d scalar problems

Patrick Ciarlet; Jiwen He

doi:10.1016/S1631-073X(03)00030-X

The singular complement method for 2d scalar problems

Patrick Ciarlet, Jiwen He

University of Houston

Research output: Contribution to journal › Article › peer-review

Abstract

We propose a method, which allows us to recover an optimal error convergence rate, when it is used in addition to the usual P₁ Lagrange Finite Element Method, in 2d non-convex domains. It can be applied to the Laplace problem, the heat or wave equations, or similar problems with piecewise constant coefficients.

Translated title of the contribution	La méthode du complément singulier pour des problèmes scalaires 2d
Original language	English
Pages (from-to)	353-358
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	336
Issue number	4
DOIs	https://doi.org/10.1016/S1631-073X(03)00030-X
Publication status	Published - 15 Feb 2003

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AB - We propose a method, which allows us to recover an optimal error convergence rate, when it is used in addition to the usual P1 Lagrange Finite Element Method, in 2d non-convex domains. It can be applied to the Laplace problem, the heat or wave equations, or similar problems with piecewise constant coefficients.

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DO - 10.1016/S1631-073X(03)00030-X

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JO - Comptes Rendus Mathematique

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The singular complement method for 2d scalar problems

Abstract

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