Optimal \(W^{1,\infty}\)-estimates for an isoparametric finite element discretization of elliptic boundary value problems

DOI10.1553/etna_vol58s1zbMath1498.65197OpenAlexW4312475788WikidataQ124814716 ScholiaQ124814716MaRDI QIDQ2100873

Bernhard Maier, Benjamin Dörich, Jan Leibold

Publication date: 25 November 2022

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1553/etna_vol58s1

zbMATH Keywords

weighted normsa priori error estimatesisoparametric finite elementselliptic boundary value problemnonconforming space discretizationmaximum norm error estimatesRitz map

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra ⋮ Pointwise error estimates for linear finite element approximation to elliptic Dirichlet problems in smooth domains

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