The meshless hypersingular boundary node method for three-dimensional potential theory and linear elasticity problems.
From MaRDI portal
Publication:5951722
DOI10.1016/S0955-7997(01)00040-6zbMath1065.74626OpenAlexW2075111100MaRDI QIDQ5951722
Glaucio H. Paulino, Mandar K. Chati, Subrata Mukherjee
Publication date: 28 January 2003
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)00040-6
Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)
Related Items (11)
MESHFREE METHODS AND THEIR COMPARISONS ⋮ A ‘pure’ boundary node method for potential theory ⋮ A meshless singular boundary method for three‐dimensional elasticity problems ⋮ Regularization of hypersingular boundary integral equations: a new approach for axisymmetric elasticity. ⋮ Interpolating Meshless Methods for 3D Elastic Problems ⋮ A node moving-based structural topology optimization method in the body-fitted mesh ⋮ Boundary moving least squares method for 3D elasticity problems ⋮ The meshless standard and hypersingular boundary node methods?applications to error estimation and adaptivity in three-dimensional problems ⋮ An extended boundary node method for modeling normal derivative discontinuities in potential theory across edges and corners ⋮ Generalized boundary element method for Galerkin boundary integrals ⋮ Boundary point method for linear elasticity using constant and quadratic moving elements
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Element-free Galerkin methods for static and dynamic fracture
- A mapping method for numerical evaluation of two-dimensional integrals with \(1/r\) singularity
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
- The hypersingular boundary contour method for two-dimensional linear elasticity
- Elimination of rigid body modes from discretized boundary integral equations
- Element free Galerkin study of steady quasi-static crack growth in plane strain tension in elastic-plastic materials
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- Two-dimensional linear elasticity by the boundary node method
- Analysis of hypersingular residual error estimates in boundary element methods for potential problems
- An element free Galerkin analysis of steady dynamic growth of a mode I crack in elastic-plastic materials
- Evaluation of gradients on the boundary using fully regularized hypersingular boundary integral equations
- Mesh generation and refinement for FEM and BEM - A bibliography (1900- 1993)
- An element-free Galerkin method for three-dimensional fracture mechanics
- Symmetric Galerkin boundary integral fracture analysis for plane orthotropic elasticity
- Meshless methods: An overview and recent developments
- Generalized multiple scale reproducing kernel particle methods
- An \(h\)-\(p\) adaptive method using clouds
- Analysis of thin shells by the element-free Galerkin method
- Evaluation of nearly singular integrals in boundary element contour and node methods for three-dimensional linear elasticity
- Error analysis and adaptivity in three-dimensional linear elasticity by the usual and hypersingular boundary contour method
- Analysis of thin plates by the element-free Galerkin method
- An element-free Galerkin formulation for stable crack growth in an elastic solid
- A new cloud-based \(hp\) finite element method
- The design and analysis of the generalized finite element method
- The meshless standard and hypersingular boundary node methods?applications to error estimation and adaptivity in three-dimensional problems
- DYNAMIC FRACTURE USING ELEMENT-FREE GALERKIN METHODS
- Hypersingular Boundary Integral Equations: Some Applications in Acoustic and Elastic Wave Scattering
- The boundary node method for three-dimensional linear elasticity
- Use of ‘simple solutions’ for boundary integral methods in elasticity and fracture analysis
- Direct evaluation of boundary stresses in the 3D BEM of elastostatics
- The natural element method in solid mechanics
- The Element Free Galerkin method for dynamic propagation of arbitrary 3-D cracks
- Element‐free Galerkin methods
- HYPERSINGULAR RESIDUALS—A NEW APPROACH FOR ERROR ESTIMATION IN THE BOUNDARY ELEMENT METHOD
- NON-SINGULAR SOMIGLIANA STRESS IDENTITIES IN ELASTICITY
- Symmetric Galerkin boundary integral formulation for interface and multi-zone problems
- Crack Tip Interpolation, Revisited
- The boundary node method for three-dimensional problems in potential theory
- Reproducing kernel particle methods
- HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE?
- A finite element method for crack growth without remeshing
- A three-dimensional element-free Galerkin elastic and elastoplastic formulation
- An integral equation approach to boundary value problems of classical elastostatics
- Hypersingular integrals in boundary element fracture analysis
- Shape sensitivity analysis and shape optimization in planar elasticity using the element-free Galerkin method
This page was built for publication: The meshless hypersingular boundary node method for three-dimensional potential theory and linear elasticity problems.
