A simple local smoothing scheme in strongly singular boundary integral representation of potential gradient
type: Item
instance of: scholarly article
title: A simple local smoothing scheme in strongly singular boundary integral representation of potential gradient
zbMATH Open document ID: 0954.65083
DOI: 10.1016/S0045-7825(99)00020-1
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-09-04T00:00:00Z
review text: The paper addresses a common problem of the boundary element method, which is the accurate representation/determination of the potential gradient near to or on smooth boundary parts. The text addresses the 2-D potential application (Laplace) using linear elements, is sufficiently thorough and well written. Also included is a number of test problems to illustrate the proposed procedures.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1442954
zbMATH Keywords: local smoothing scheme
zbMATH Keywords: Laplace function
zbMATH Keywords: numerical examples
zbMATH Keywords: boundary element method
zbMATH Keywords: potential gradient
author: V. Mantič
author: E. Graciani
author: F. París
reviewed by: J. C. F. Telles
MaRDI profile type: Publication
cites work: The problem of the selection of an a posteriori error indicator based on smoothening techniques
cites work: The application of integral equation methods to the numerical solution of some exterior boundary-value problems
cites work: Q4881818
cites work: A Boundary Integral Equation Formulation in Derivative Unknowns for Two-Dimensional Potential Problems
cites work: Q3672341
cites work: NON-SINGULAR SOMIGLIANA STRESS IDENTITIES IN ELASTICITY
cites work: A New Boundary Element Method Formulation for Linear Elasticity
cites work: Evaluation of hypersingular integrals in the boundary element method
cites work: Galerkin boundary integral method for evaluating surface derivatives
cites work: Hypersingular boundary integral equations have an additional free term
cites work: A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
cites work: Integral equations. Theory and numerical treatment
cites work: The Somigliana identity on piecewise smooth surfaces
cites work: Hypersingular Boundary Integral Equations: Some Applications in Acoustic and Elastic Wave Scattering
cites work: Continuity requirements for density functions in the boundary integral equation method
cites work: Q4193022
cites work: A new BEM approach for linear elasticity
cites work: A new formula for the \(C\)-matrix in the Somigliana identity
cites work: Q3836275
cites work: Q4219966
cites work: Boundary stress calculation using regularized boundary integral equation for displacement gradients
cites work: Q4215503
cites work: Q5789160
cites work: Q5820804
cites work: A boundary integral equation method for an inverse problem related to crack detection
cites work: Superconvergent extraction techniques for finite element analysis
cites work: A Novel Displacement Gradient Boundary Element Method for Elastic Stress Analysis With High Accuracy
cites work: Traction BIE solutions for flat cracks
cites work: An efficient boundary element method for computing accurate stresses in two-dimensional anisotropic problems
cites work: A formulation and solution procedure for the general non-homogeneous elastic inclusion problem
cites work: Q4846907
cites work: Regularization of hypersingular and nearly singular integrals in the potential theory and elasticity
cites work: Q4000182
cites work: A New Boundary Integral Equation Formulation for Linear Elastic Solids
cites work: A SINGLE-DOMAIN BOUNDARY ELEMENT METHOD FOR 3-D ELASTOSTATIC CRACK ANALYSIS USING CONTINUOUS ELEMENTS
cites work: Improved numerical method for the Traction Boundary Integral Equation by application of Stokes' theorem
cites work: Q4349453
cites work: The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
description: scientific article; zbMATH DE number 1442954