Results 131 to 140 of about 258 (161)
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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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The basis of meshless domain discretization: the meshless local Petrov?Galerkin (MLPG) method
Advances in Computational Mathematics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Satya N. Atluri, Shengping Shen
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The MLPG Method in Multiphysics and Scale Dependent Problems
2021Two multiphysical and scale dependent problems in flexoelectricity and thermoelectricity are analysed by the meshless Petrov-Galerkin (MLPG) method. The size-effect is considered in constitutive equations by the strain- and electric field-gradients in the flexoelectricity.
Jan Sladek +2 more
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An Efficient Hybrid Implementation of MLPG Method
Journal of Multiscale Modelling, 2017The computational implementation of moving least squares (MLS) shape functions is an important step to consider in some versions of the meshless local Petrov–Galerkin (MLPG) method for a variety of two-dimensional engineering problems. Here, the usage of conventional Gaussian quadrature in the MLPG may require an excessive number integration points to
M. Barbosa +3 more
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Phase Change Problems Using the MLPG Method
Numerical Heat Transfer, Part A: Applications, 2011This article discusses the application of the MLPG method to phase change problems. Phase change problems belong to a nonlinear class of problem due to a continuously moving interface. Apparent capacity method based on the enthalpy formulation is used here.
Harishchandra Thakur +2 more
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MLPG/SUPG Method for Convection-Dominated Problems
Numerical Heat Transfer, Part B: Fundamentals, 2012It is well known that convection-diffusion equations suffer from the most difficult problems to gain a stable and accurate solution. Sometimes, the convection terms may cause oscillatory behavior of solutions. In this article, the streamline upwind Petrov-Galerkin (SUPG) scheme is applied to eliminate overshoots and undershoots produced by the ...
Xue-Hong Wu, Yan-Jun Dai, Wen-Quan Tao
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MLPG method for convection-dominated flow problems
Progress in Computational Fluid Dynamics, An International Journal, 2012In this paper, the Meshless Local Petrov-Galerkin (MLPG) method is applied to compute convection-dominated flow problems. The results of the MLPG method are compared with the results of the finite volume method. The results show that the first-order upwind (FUD) scheme exhibits the false diffusion at a larger-Peclet number; the QUICK scheme and the ...
Xue Hong Wu +4 more
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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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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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A new meshless method based on MLPG for elastic dynamic problems
Engineering Analysis with Boundary Elements, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Long, S. Y., Liu, K. Y., Hu, D. A.
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