Abstract

We propose a method, which allows us to recover an optimal error convergence rate, when it is used in addition to the usual P 1 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. To cite this article: P. Ciarlet Jr., J. He, C. R. Acad. Sci. Paris, Ser. I 336 (2003).

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