Crouzeix-Raviart boundary elements

DOI10.1007/s00211-009-0212-zzbMath1171.65086OpenAlexW2007201367MaRDI QIDQ1027736

Francisco-Javier Sayas, Norbert Heuer

Publication date: 30 June 2009

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-009-0212-z

zbMATH Keywords

convergenceLaplace equationnumerical experimentexterior boundary value problemdiscrete Poincaré-Friedrichs inequalitynon-conforming boundary element methodpiecewise linear Crouzeix-Raviart elements

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (9)

Symmetric coupling of LDG-FEM and DG-BEM ⋮ A nonconforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator ⋮ Erratum: An Analysis of a Broken P_1-Nonconforming Finite Element Method for Interface Problems ⋮ A wirebasket preconditioner for the mortar boundary element method ⋮ Discontinuous Galerkin \(hp\)-BEM with quasi-uniform meshes ⋮ A Nitsche-based domain decomposition method for hypersingular integral equations ⋮ Radial basis functions for the solution of hypersingular operators on open surfaces ⋮ A posteriori error analysis for a boundary element method with nonconforming domain decomposition ⋮ Adaptive Crouzeix–Raviart boundary element method

Cites Work

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• A finite element method for some integral equations of the first kind
• On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
• On the \(h\)-\(p\) version of the boundary element method for Symm's integral equation on polygons
• On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
• Thehp-version of the boundary element method with quasi-uniform meshes in three dimensions
• The boundary element method with Lagrangian multipliers
• A boundary integral equation method for three‐dimensional crack problems in elasticity
• Poincaré--Friedrichs Inequalities for Piecewise H¹ Functions
• Additive Schwarz method for the \(p\)-version of the boundary element method for the single layer potential operator on a plane screen

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