Dual error indicators for the local boundary integral equation method in 2D potential problems

DOI10.1016/J.ENGANABOUND.2006.02.009zbMath1195.74233OpenAlexW2042153616MaRDI QIDQ1958215

Yanyan Li

Publication date: 28 September 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2006.02.009

zbMATH Keywords

regularizationmoving least squaresTaylor series expansionlocal boundary integral equationdual error indicators

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods applied to problems in fluid mechanics (76M15)

Related Items (7)

On error estimator and adaptivity in the meshless Galerkin boundary node method ⋮ Adaptive methodology for the meshless Galerkin boundary node method ⋮ A new semi-analytical method with diagonal coefficient matrices for potential problems ⋮ An improved local boundary integral equation method implemented by the transformed MLS approximation with the delta property ⋮ A posteriori error estimates and adaptive procedures for the meshless Galerkin boundary node method for 3D potential problems ⋮ A priori and a posteriori analysis of the meshless Galerkin boundary node method for three-dimensional elasticity ⋮ A meshless regularized local boundary integral equation method and the selection of weight function and geometrical parameters

Cites Work

• Unnamed Item
• A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
• The method of fundamental solutions for elliptic boundary value problems
• Meshless methods: An overview and recent developments
• An \(h\)-\(p\) adaptive method using clouds
• A simple a-posteriori error estimation for adaptive BEM in elasticity
• Particular solutions of Laplacian, Helmholtz-type, and polyharmonic operators involving higher order radial basis functions
• Regularized algorithms for the calculation of values on and near boundaries in 2D elastic BEM
• A meshless, integration-free, and boundary-only RBF technique
• Adaptive boundary element method of time-harmonic exterior acoustics in two dimensions
• Meshfree boundary particle method applied to Helmholtz problems
• Symmetric boundary knot method
• A numerical comparison of two different approximations of the error in a meshless method
• Error estimation for boundary element method
• Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties
• A meshless local boundary integral equation method for solving transient elastodynamic problems
• The meshless standard and hypersingular boundary node methods?applications to error estimation and adaptivity in three-dimensional problems
• An effective method for finding values on and near boundaries in the elastic BEM
• New approaches for error estimation and adaptivity for 2D potential boundary element methods
• An error indicator for the element-free Galerkin method.
• Error estimation and adaptive mesh refinement in boundary element method, an overview
• \(h\)-adaptive mesh refinement strategy for the boundary element method based on local error analysis

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