A coupled finite element and meshless local Petrov--Galerkin method for two-dimensional potential problems.

DOI10.1016/S0045-7825(03)00421-3zbMath1037.65115OpenAlexW2147615990MaRDI QIDQ1420982

D. Massart

Publication date: 23 January 2004

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(03)00421-3

zbMATH Keywords

Poisson equationFinite element methodNumerical examplesCoupling methodBlending functionsCoons' patch methodMeshless local Petrov-Galerkin (MLPG) methodPotential problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (17)

Virtual element method for the numerical simulation of long-term dynamics of transitional environments ⋮ The dimension split element-free Galerkin method for three-dimensional potential problems ⋮ 2.5D elastic wave propagation in non-homogeneous media coupling the BEM and MLPG methods ⋮ Meshless analysis of soil-structure interaction using an MFS-MLPG coupled approach ⋮ Modeling elastic wave propagation in fluid-filled boreholes drilled in nonhomogeneous media: BEM-MLPG versus BEM-FEM coupling ⋮ A hybrid algorithm using the FEM-MESHLESS method to solve nonlinear structural problems ⋮ Two-dimensional analysis of anisotropic crack problems using coupled meshless and fractal finite element method ⋮ MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions ⋮ A new semi-analytical method with diagonal coefficient matrices for potential problems ⋮ Coupling of the improved element-free Galerkin and boundary element methods for two-dimensional elasticity problems ⋮ A local gradient smoothing method for solving strong form governing equation ⋮ Numerical analysis of fluid squeezed between two parallel plates by meshless method ⋮ Coupled meshfree and fractal finite element method for mixed mode two-dimensional crack problems ⋮ Coupling of Finite Element and Meshfree Method for Structure Mechanics Application: A Review ⋮ The Meshfree Interface Finite Element Method for Numerical Simulation of Dendritic Solidification with Fluid Flow ⋮ Enriching the finite element method with meshfree particles in structural mechanics ⋮ Conforming local meshfree method

Cites Work

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• A parallelized meshfree method with boundary enrichment for large-scale CFD
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• A variationally coupled FE-BE method for elasticity and fracture mechanics
• A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• The partition of unity finite element method: basic theory and applications
• Element-free Galerkin methods in combination with finite element approaches
• A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
• The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
• Coupling of element-free Galerkin and hybrid boundary element methods using modified variational formulation
• Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches
• A coupled finite element -- element-free Galerkin method
• A new implementation of the element free Galerkin method
• Hierarchical enrichment for bridging scales and mesh-free boundary conditions
• The coupling of the finite element method and boundary solution procedures
• Element‐free Galerkin methods
• Coupling finite and boundary element methods for two‐dimensional potential problems
• Reproducing kernel particle methods

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