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A weak discrete maximum principle and stability of finite element method in $$L_\infty$$ on plane polygonal domains. I. (English) Zbl 0425.65060

MSC:
 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs 35B50 Maximum principles in context of PDEs 31A30 Biharmonic, polyharmonic functions and equations, Poisson’s equation in two dimensions
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