Local integral equations implemented by MLS-approximation and analytical integrations

DOI10.1016/j.enganabound.2010.03.015zbMath1244.74231OpenAlexW1967051572MaRDI QIDQ441688

Jan Sladek, Vladimir Sládek

Publication date: 7 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2010.03.015

zbMATH Keywords

elasticityaccuracycomputational efficiencyanalytical integrationstrong and weak formulationsconvergence studymesh free approximations

Mathematics Subject Classification ID

Classical linear elasticity (74B05)

Related Items (8)

An efficient meshfree point collocation moving least squares method to solve the interface problems with nonhomogeneous jump conditions ⋮ Modified meshless local Petrov-Galerkin formulations for elastodynamics ⋮ The local integral equation method for pattern formation simulations in reaction-diffusion systems ⋮ 2.5D elastic wave propagation in non-homogeneous media coupling the BEM and MLPG methods ⋮ Boundary node Petrov-Galerkin method in solid structures ⋮ Free element boundary integration method for solving heat conduction and mechanics problems ⋮ Local weak form meshless techniques based on the radial point interpolation (RPI) method and local boundary integral equation (LBIE) method to evaluate European and American options ⋮ Elastodynamic problems by meshless local integral method: analytical formulation

Uses Software

• Mfree2D

Cites Work

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• Local integral equation formulation for axially symmetric problems involving elastic FGM
• Computation of stresses in non-homogeneous elastic solids by local integral equation method: a comparative study
• Local integral equation method for potential problems in functionally graded anisotropic materials
• Local integro-differential equations with domain elements for the numerical solution of partial differential equations with variable coefficients
• Domain element local integral equation method for potential problems in anisotropic and functionally graded materials
• Time integrations in solution of diffusion problems by local integral equations and moving least squares approximation
• On Increasing Computational Efficiency of Local Integral Equation Method Combined with Meshless Implementations
• An improved meshless collocation method for elastostatic and elastodynamic problems
• Surfaces Generated by Moving Least Squares Methods
• Computation of thermal stresses in quasistatic non‐stationary thermoelasticity using boundary elements

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