Recent studies on adaptive boundary element methods

DOI10.1016/0965-9978(94)90043-4zbMath0811.65100OpenAlexW2065375900MaRDI QIDQ1343827

Norio Kamiya, Eisuke Kita

Publication date: 2 May 1995

Published in: Advances in Engineering Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0965-9978(94)90043-4

zbMATH Keywords

adaptive mesh refinementerror estimationboundary integral equationLaplace equationboundary element methodsresearch surveyadaptive tactics

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) 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 (26)

Dual boundary-element method: Simple error estimator and adaptivity ⋮ An adaptive dual reciprocity scheme for the numerical solution of the Poisson equation ⋮ Stress recovery and error estimation for the scaled boundary finite-element method ⋮ HYPERSINGULAR RESIDUALS—A NEW APPROACH FOR ERROR ESTIMATION IN THE BOUNDARY ELEMENT METHOD ⋮ Error estimation for boundary element method ⋮ Adaptive dual boundary element method for solving oblique incident wave passing a submerged breakwater ⋮ An improved r-adaptive Galerkin boundary element method based on unbalanced Haar wavelets ⋮ Three-dimensional singular boundary elements for corner and edge singularities in potential problems ⋮ Application of new error estimators based on gradient recovery and external domain approaches to 2D elastostatics problems ⋮ Error estimation and adaptive mesh refinement in boundary element method, an overview ⋮ Superconvergence and the use of the residual as an error estimator in the BEM. II: Collocation, numerical integration and error indicators ⋮ Error estimation using hypersingular integrals in boundary element methods for linear elasticity. ⋮ A new error indicator based on stresses for three-dimensional elasticity. ⋮ A unified formulation and error estimation measure for the direct and the indirect boundary element methods in elasticity. ⋮ \(h\)-adaptive mesh refinement strategy for the boundary element method based on local error analysis ⋮ An h-hierarchical Galerkin BEM using Haar wavelets ⋮ Gradient weighted residuals for error indicators in FEM and BEM ⋮ Plate bending analysis with \(hr\)-adaptive boundary elements. ⋮ Potential function construction by use of an adaptive mesh algorithm for a class of singular integral equations ⋮ A new error indicator based on stresses for adaptive meshing with Hermite boundary elements ⋮ Error estimation and \(h\) adaptive boundary elements ⋮ Application of \(r\)- and \(hr\)-adaptive BEM to two-dimensional elastic problem ⋮ One step forward towards the full integration of BEM and CAD software: an effective adaptive approach ⋮ An error estimation measure in the direct BEM formulation by the external Somigliana's identity ⋮ Analysis of hypersingular residual error estimates in boundary element methods for potential problems ⋮ Adaptive boundary element method of time-harmonic exterior acoustics in two dimensions

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