A note on the polynomial approximation of vertex singularities in the boundary element method in three dimensions
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Publication:732339
DOI10.1216/JIE-2009-21-3-359zbMath1181.41007MaRDI QIDQ732339
Publication date: 9 October 2009
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Error bounds for boundary value problems involving PDEs (65N15) Approximation by polynomials (41A10) Boundary element methods for boundary value problems involving PDEs (65N38)
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Cites Work
- The \(p\)-version of the boundary element method for weakly singular operators on piecewise plane open surfaces
- A direct boundary integral equation method for transmission problems
- Singularities of electromagnetic fields in polyhedral domains
- The \(p\)-version of the boundary element method for hypersingular operators on piecewise plane open surfaces
- Regularity of mixed boundary value problems in ℝ3 and boundary element methods on graded meshes
- Thehp-version of the boundary element method with quasi-uniform meshes in three dimensions
- The hp-version of the boundary element method with quasi-uniform meshes for weakly singular operators on surfaces
- Natural p-BEM for the electric field integral equation on screens
- The Optimal Convergence Rate of the p-Version of the Finite Element Method
- Decompositions in Edge and Corner Singularities for the Solution of the Dirichlet Problem of the Laplacian in a Polyhedron
- The Conditioning of Boundary Element Equations on Locally Refined Meshes and Preconditioning by Diagonal Scaling
- The Optimalp-Version Approximation of Singularities on Polyhedra in the Boundary Element Method
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