A MLPG(LBIE) numerical method for solving 2D incompressible and nearly incompressible elastostatic problems

DOI10.1002/cnm.965zbMath1419.74263OpenAlexW2067716593MaRDI QIDQ5387013

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Publication date: 14 May 2008

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.965

zbMATH Keywords

MLPGmeshlessLBIEincompressible elasticityMLS

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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MLPG method for two-dimensional diffusion equation with Neumann's and non-classical boundary conditions ⋮ A new LBIE method for solving elastodynamic problems ⋮ A meshless method for two-dimensional diffusion equation with an integral condition ⋮ The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation ⋮ Evaluation of Green's boundary formula and its first- and second-order derivatives in Legendre series ⋮ Numerical solution to the unsteady two-dimensional Schrödinger equation using meshless local boundary integral equation method ⋮ Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity ⋮ Implementation of meshless LBIE method to the 2D non-linear SG problem ⋮ Numerical simulation of ground water flow via a new approach to the local radial point interpolation meshless method

Cites Work

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• A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
• Static and dynamic boundary element analysis in incompressible linear elasticity
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
• A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
• 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 linear nonconforming finite element method for nearly incompressible elasticity and Stokes flow.
• A stabilized formulation for incompressible elasticity using linear displacement and pressure interpolations.
• A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation
• Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties
• An improved reproducing kernel particle method for nearly incompressible finite elasticity
• Mixed finite elements of least-squares type for elasticity
• A meshless local boundary integral equation method for solving transient elastodynamic problems
• A MLPG(LBIE) approach in combination with BEM
• A comparison study on different MLPG(LBIE) formulations
• Surfaces Generated by Moving Least Squares Methods
• The use of orthogonal projections to handle constraints with applications to incompressible four‐node quadrilateral elements
• A novel isoparametric finite element displacement formulation for axisymmetric analysis of nearly incompressible materials
• Incompressibility and axisymmetry: A modified mixed and penalty formulation
• On the incompressible constraint of the 4‐node quadrilateral element

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