Towards optimal finite element error estimates for the penalized Dirichlet problem in a domain with curved boundary

DOI10.1016/j.camwa.2015.10.019zbMath1443.65341OpenAlexW2291794038MaRDI QIDQ2006591

Dione Ibrahima

Publication date: 11 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.10.019

zbMATH Keywords

finite elementDirichlet boundary conditionselliptic equationspenalty methodcurved boundary

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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 (1)

Enhanced functional evaluation for the finite element penalty method

Cites Work

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• Finite element approximations of the Lamé system with penalized ideal contact boundary conditions
• Finite element approximation of the Dirichlet problem using the boundary penalty method
• Penalty: finite element approximation of Stokes equations with slip boundary conditions
• Numerical Analysis of a Finite Element/Volume Penalty Method
• Optimal Isoparametric Finite Elements and Error Estimates for Domains Involving Curved Boundaries
• The Finite Element Method with Penalty
• Optimal error Estimates for the Stokes and Navier–Stokes equations with slip–boundary condition

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