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Local mesh refinement in 2 and 3 dimensions. (English) Zbl 0744.65074

The author presents an algorithm for local refinements of a given conforming triangulation in 2 and 3 dimensions. Proofs for the existence of the algorithm and its stability are also presented. Finally an example is presented for illustration.

MSC:

65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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