An error estimate for finite element approximation to elliptic PDEs with discontinuous Dirichlet boundary data

DOI10.1016/J.APNUM.2023.07.020zbMath1528.65102OpenAlexW4385249178MaRDI QIDQ6064940

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Publication date: 10 November 2023

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2023.07.020

zbMATH Keywords

error estimatediscontinuous boundary data

Mathematics Subject Classification ID

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

Cites Work

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• Hitchhiker's guide to the fractional Sobolev spaces
• Discretization of the Poisson equation with non-smooth data and emphasis on non-convex domains
• An error estimate for two-dimensional Stokes driven cavity flow
• The Mathematical Theory of Finite Element Methods

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