A new accurate residual-based a posteriori error indicator for the BEM in 2D-acoustics

DOI10.1016/j.camwa.2017.03.016zbMath1373.65087OpenAlexW2611937906MaRDI QIDQ2403852

Marc Bakry, Francis Collino, Sebastien Pernet

Publication date: 12 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.03.016

zbMATH Keywords

numerical experimentsHelmholtz equationa posteriori error estimateoscillating integralsadaptive boundary element method2D-acousticsauto-adaptive refinement

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

An efficient preconditioner for adaptive fast multipole accelerated boundary element methods to model time-harmonic 3D wave propagation ⋮ Metric-based anisotropic mesh adaptation for 3D acoustic boundary element methods

Cites Work

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• Axioms of adaptivity
• Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation
• A well-conditioned boundary integral equation for transmission problems of electromagnetism
• Adaptive multilevel BEM for acoustic scattering
• A posteriori boundary element error estimation
• Local a-posteriori error indicators for the Galerkin discretization of boundary integral equations
• Localization of the Aronszajn-Slobodeckij norm and application to adaptive boundary element methods. II: The three-dimensional case
• Adaptive boundary element method of time-harmonic exterior acoustics in two dimensions
• Residual-based a posteriori error estimate for hypersingular equation on surfaces
• Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems
• Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method
• Averaging Techniques for a Posteriori Error Control in Finite Element and Boundary Element Analysis
• Hierarchical Matrices: Algorithms and Analysis
• Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation
• The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory
• A Fast Adaptive Multipole Algorithm for Particle Simulations
• Localization of the Aronszajn-Slobodeckij norm and application to adaptive boundary elements methods. Part I. The two-dimensional case
• Averaging Techniques for the Effective Numerical Solution of Symm's Integral Equation of the First Kind
• Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems
• An a posteriori error estimate for a first-kind integral equation
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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