Error estimation using hypersingular integrals in boundary element methods for linear elasticity.
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Publication:5951713
DOI10.1016/S0955-7997(01)00019-4zbMath1065.74630OpenAlexW1982764261WikidataQ127012988 ScholiaQ127012988MaRDI QIDQ5951713
Subrata Mukherjee, Glaucio H. Paulino, Govind K. Menon
Publication date: 2001
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0955-7997(01)00019-4
Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Error bounds for boundary value problems involving PDEs (65N15) Boundary element methods for boundary value problems involving PDEs (65N38)
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- Adaptive boundary element methods for strongly elliptic integral equations
- The hypersingular boundary contour method for two-dimensional linear elasticity
- Elimination of rigid body modes from discretized boundary integral equations
- 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
- Evaluation of gradients on the boundary using fully regularized hypersingular boundary integral equations
- Recent studies on adaptive boundary element methods
- Nodal sensitivities as error estimates in computational mechanics
- Symmetric Galerkin boundary integral fracture analysis for plane orthotropic elasticity
- The \(h\)-\(p\) boundary element method for solving 2- and 3-dimensional problems
- Error analysis and adaptivity in three-dimensional linear elasticity by the usual and hypersingular boundary contour method
- Finite parts of singular and hypersingular integrals with irregular boundary source points
- \(h\)-adaptive boundary element schemes
- Error estimation for boundary element method
- The meshless standard and hypersingular boundary node methods?applications to error estimation and adaptivity in three-dimensional problems
- Hypersingular Boundary Integral Equations: Some Applications in Acoustic and Elastic Wave Scattering
- Adaptiveh-,p- andhp-versions for boundary integral element methods
- On the integral equation method for the plane mixed boundary value problem of the Laplacian
- Use of ‘simple solutions’ for boundary integral methods in elasticity and fracture analysis
- Improvement by Iteration for Compact Operator Equations
- Direct evaluation of boundary stresses in the 3D BEM of elastostatics
- HYPERSINGULAR RESIDUALS—A NEW APPROACH FOR ERROR ESTIMATION IN THE BOUNDARY ELEMENT METHOD
- Symmetric Galerkin boundary integral formulation for interface and multi-zone problems
- Crack Tip Interpolation, Revisited
- On Boundary Integral Equations for Cracked and for thin Bodies
- A Posteriori Error Estimates for Boundary Element Methods
- Efficiency of a posteriori BEM–error estimates for first-kind integral equations on quasi–uniform meshes
- Asymptotic and a Posteriori Error Estimates for Boundary Element Solutions of Hypersingular Integral Equations
- An integral equation approach to boundary value problems of classical elastostatics
- Hypersingular integrals in boundary element fracture analysis
- Linear integral equations