A boundary element-free method (BEFM) for two-dimensional potential problems
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Publication:1005104
DOI10.1016/j.enganabound.2008.03.005zbMath1160.65348OpenAlexW1967461745MaRDI QIDQ1005104
Publication date: 16 March 2009
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2008.03.005
numerical examplesboundary integral equationPoisson equationpotential problemsmeshless methodweighted orthogonal functionimproved moving least-squares (IMLS) approximationmoving least-squares (MLS) approximationboundary element-free method (BEFM)
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)
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Cites Work
- Unnamed Item
- Coupling of the improved element-free Galerkin and boundary element methods for two-dimensional elasticity problems
- Analyzing 2D fracture problems with the improved element-free Galerkin method
- Analyzing the interaction between collinear interfacial cracks by an efficient boundary element-free method
- A mesh-free simulation of cracking and failure using the cohesive segments method
- Two-dimensional linear elasticity by the boundary node method
- Meshless methods: An overview and recent developments
- Numerical integration of singularities in meshless implementation of local boundary integral equations
- The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity
- A meshless numerical method based on the local boundary integral equation (LBIE) to solve linear and nonlinear boundary value problems
- Analyzing the 2D fracture problems via the enriched boundary element-free method
- A boundary element-free method (BEFM) for three-dimensional elasticity problems
- Some problems in nonlinear dynamic instability and bifurcation theory for engineering structures
- Boundary element-free method (BEFM) for two-dimensional elastodynamic analysis using Laplace transform
- Boundary element-free method (BEFM) and its application to two-dimensional elasticity problems
- Boundary element-free method for fracture analysis of 2-D anisotropic piezoelectric solids
- The boundary node method for three-dimensional linear elasticity
- Surfaces Generated by Moving Least Squares Methods
- Moving least squares differential quadrature method and its application to the analysis of shear deformable plates
- A spline strip kernel particle method and its application to two-dimensional elasticity problems
- The boundary node method for three-dimensional problems in potential theory
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