A new probabilistic interpretation of the Bramble-Hilbert lemma

DOI10.1515/CMAM-2018-0270zbMath1437.65179arXiv1803.09547OpenAlexW2963564659WikidataQ124798736 ScholiaQ124798736MaRDI QIDQ2175538

Franck Assous, Joël Chaskalovic

Publication date: 29 April 2020

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09547

zbMATH Keywords

error estimatesfinite elementsprobabilityBramble-Hilbert lemma

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

On generalized binomial laws to evaluate finite element accuracy: preliminary probabilistic results for adaptive mesh refinement ⋮ A new mixed functional-probabilistic approach for finite element accuracy ⋮ Explicit k-dependence for P_k finite elements in W^m,p error estimates: application to probabilistic laws for accuracy analysis ⋮ NUMERICAL VALIDATION OF PROBABILISTIC LAWS TO EVALUATE FINITE ELEMENT ERROR ESTIMATES

Cites Work

• Indeterminate constants in numerical approximations of PDEs: a pilot study using data mining techniques
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