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A localized RBF-MLPG method and its application to elliptic PDEs
Engineering with Computers, 2019The existing local RBF methods use the strong form equation and approximate the solution in local subdomains instead of the whole domain. In the RBF-MLPG method, the unknown solution is approximated by RBFs in the whole domain and testing is done by constructing the weak-form equations over the local subdomains.
Mansour Safarpoor +2 more
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A stabilized MLPG method for steady state incompressible fluid flow simulation
Journal of Computational Physics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xue-Hong Wu +3 more
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Computational efficiency of linear system construction for MLPG method on a multicore computer
2019 42nd International Convention on Information and Communication Technology, Electronics and Microelectronics (MIPRO), 2019A contact problem is simulated and surface stresses are analyzed in order to determine the conditions for crack initiation due to fretting fatigue. A weak-form Meshless Local Petrov-Galerkin (MLPG) method is used for simulating the displacements in the material, due to the applied external forces.
Matjaz Depolli, Roman Trobec
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Nonlinear heat transfer analysis of spines using MLPG method
Engineering Analysis with Boundary Elements, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Efficient cubature formulae for MLPG and related methods
International Journal for Numerical Methods in Engineering, 2005AbstractThe paper introduces four kinds of compact, simple to implement Gaussian cubature formulae for approximating the domain integrals arising in the discrete local weak form (DLWF) of a governing partial differential equation solved by means of the meshless local Petrov–Galerkin method of type MLPG1.
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A moving Kriging‐based MLPG method for nonlinear Klein–Gordon equation
Mathematical Methods in the Applied Sciences, 2016In this paper, the meshless local Petrov–Galerkin approximation is proposed to solve the 2‐D nonlinear Klein–Gordon equation. We used the moving Kriging interpolation instead of the MLS approximation to construct the meshless local Petrov–Galerkin shape functions. These shape functions possess the Kronecker delta function property.
Ali Shokri, Ali Habibirad
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Numerical solution of EFIE using MLPG methods
Engineering Analysis with Boundary Elements, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A parametric study of the MLPG method for thermo-mechanical solidification analysis
Engineering Analysis with Boundary Elements, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. Vaghefi +3 more
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Stress analysis in anisotropic functionally graded materials by the MLPG method
Engineering Analysis with Boundary Elements, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sladek, J., Sladek, V., Zhang, Ch.
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The Galerkin least squares MLPG method for convection-dominated problems
Progress in Computational Fluid Dynamics, An International Journal, 2021The meshless method has been widely applied in the computational mechanics, materials science, computational heat transfer and fluid flow. However, the development of a high efficient method for convection term in the computational fluid dynamics is difficult.
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