On \(hp\)-error estimation in the BEM for a three-dimensional Helmholtz exterior problem

DOI10.1016/S0045-7825(97)00091-1zbMath0906.73073MaRDI QIDQ1267873

Andrzej Karafiat

Publication date: 13 October 1998

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

interpolationacoustic wave scattering problembounded elastic solidRobin's boundary conditiontime-harmonic process

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Wave scattering in solid mechanics (74J20) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

An adaptive dual reciprocity scheme for the numerical solution of the Poisson equation ⋮ New approaches for error estimation and adaptivity for 2D potential boundary element methods ⋮ Convergence estimates for a plane elasticity problem solved by the Galerkin boundary integral formulation with NURBS ⋮ A new error indicator based on stresses for three-dimensional elasticity. ⋮ \(h\)-adaptive mesh refinement strategy for the boundary element method based on local error analysis

Cites Work

• Solution of elastic scattering problems in linear acoustics using \(h\)-\(p\) boundary element method
• Solution of elastic scattering problems in linear acoustics using \(h\)-\(p\) boundary element methods
• Curved finite element methods for the solution of singular integral equations on surfaces in \(R^3\)
• Asymptotic convergence in finite and boundary element methods. I: Theoretical results
• The \(h\)-\(p\) boundary element method for solving 2- and 3-dimensional problems
• On the pollution effect in FE solutions of the 3D-Helmholtz equation
• Error-bounds for finite element method
• The $h-p$ version of the finite element method with quasiuniform meshes
• The Optimal Convergence Rate of the p-Version of the Finite Element Method
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• On the Convergence of the p-Version of the Boundary Element Galerkin Method
• Boundary integral equations for the Helmholtz equation: The third boundary value problem
• Asymptotic and a Posteriori Error Estimates for Boundary Element Solutions of Hypersingular Integral Equations
• The Optimalp-Version Approximation of Singularities on Polyhedra in the Boundary Element Method
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