Finite element approximation of the pure Neumann problem using the iterative penalty method

DOI10.1016/j.amc.2006.07.148zbMath1117.65153OpenAlexW2019657352MaRDI QIDQ884596

Xiaoxia Dai

Publication date: 6 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.148

zbMATH Keywords

finite elementcondition numberiterative schemeerror estimatePoisson equationNeumann problempenalty method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

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• Boundary penalty techniques
• Finite element approximation of the Dirichlet problem using the boundary penalty method
• Analysis of the iterative penalty method for the Stokes equations
• On the convergence rate of the boundary penalty method
• The Finite Element Method with Penalty
• On the Finite Element Solution of the Pure Neumann Problem