On error estimator and adaptivity in the meshless Galerkin boundary node method

DOI10.1007/s00466-011-0673-7zbMath1312.65194OpenAlexW2164532185MaRDI QIDQ1937035

Xiao-Lin Li

Publication date: 11 February 2013

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-011-0673-7

zbMATH Keywords

convergencea posteriori error estimatemeshless methodadaptive techniqueGalerkin boundary node method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38)

Uses Software

• Mfree2D

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Meshless analysis of two-dimensional Stokes flows with the Galerkin boundary node method
• A Galerkin boundary node method for biharmonic problems
• A hybrid radial boundary node method based on radial basis point interpolation
• Meshless Galerkin algorithms for boundary integral equations with moving least square approximations
• A meshless Galerkin method for Stokes problems using boundary integral equations
• Fast HdBNM for large-scale thermal analysis of CNT-reinforced composites
• A dual reciprocity hybrid radial boundary node method based on radial point interpolation method
• Convergence of a standard adaptive nonconforming finite element method with optimal complexity
• An automatic adaptive refinement procedure for the reproducing kernel particle method. I: Stress recovery and a posteriori error estimation
• A regularized least-squares radial point collocation method (RLS-RPCM) for adaptive analysis
• p-adaptive \(\text C^{k}\) generalized finite element method for arbitrary polygonal clouds
• A Galerkin boundary node method and its convergence analysis
• A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
• An adaptive procedure based on background cells for meshless methods
• An \(h\)-\(p\) adaptive method using clouds
• Multiresolution reproducing kernel particle methods
• Filters, reproducing kernel, and adaptive meshfree method
• Recovery-based error estimation and adaptivity applied to a modified element-free Galerkin method
• Adaptive methodology for the meshless Galerkin boundary node method
• A three-dimensional adaptive analysis using the meshfree node-based smoothed point interpolation method (NS-PIM)
• Dual error indicators for the local boundary integral equation method in 2D potential problems
• On some new recovery-based a posteriori error estimators
• A boundary element-free method (BEFM) for three-dimensional elasticity problems
• The meshless standard and hypersingular boundary node methods?applications to error estimation and adaptivity in three-dimensional problems
• The meshless Galerkin boundary node method for Stokes problems in three dimensions
• A Galerkin Boundary Node Method for Two-Dimensional Linear Elasticity
• An anisotropic Zienkiewicz-Zhu-type error estimator for 3D applications
• Meshfree Particle Methods
• A simple error estimator and adaptive procedure for practical engineerng analysis
• Multiresolution reproducing kernel particle method for computational fluid dynamics
• Some remarks on the history and future of averaging techniques in a posteriori finite element error analysis
• Adaptive crack propagation analysis with the element‐free Galerkin method
• Wavelet and multiple scale reproducing kernel methods
• Convergence of Adaptive Finite Element Methods
• A Convergent Adaptive Algorithm for Poisson’s Equation
• A finite point method for adaptive three‐dimensional compressible flow calculations
• Adaptivity for structured meshfree particle methods in 2D and 3D
• Error estimation and adaptive mesh refinement in boundary element method, an overview

This page was built for publication: On error estimator and adaptivity in the meshless Galerkin boundary node method