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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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A MLPG(LBIE) approach in combination with BEM
Computer Methods in Applied Mechanics and Engineering, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sellountos, Euripides J. +1 more
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Crack analysis in decagonal quasicrystals by the MLPG
International Journal of Fracture, 2013A meshless method based on the local Petrov-Galerkin approach is proposed to solve initial-boundary-value crack problems in decagonal quasicrystals. These quasicrystals belong to the class of two-dimensional (2-d) quasicrystals, where the atomic arrangement is quasiperiodic in a plane, and periodic in the perpendicular direction.
J. Sladek +4 more
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Analysis of errors in MLPG methods
AIP Conference Proceedings, 2012The locality of meshless methods for the numerical solution of partial differential equations is achieved by the moving least squares (MLS) approximation. We analyzed experimentally the errors in the MLS approximation and in the meshless local Petrov-Galerkin (MLPG) solution method and confirmed that there is only a short interval of MLS support radii ...
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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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The MLPG analyses of large deflections of magnetoelectroelastic plates
Engineering Analysis with Boundary Elements, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sladek, J. +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 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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Stabilised MLS in MLPG method for heat conduction problem
Engineering Computations, 2019Purpose The purpose of this paper is to assess the performance of the stabilised moving least squares (MLS) scheme in the meshless local Petrov–Galerkin (MLPG) method for heat conduction method. Design/methodology/approach In the current work, the authors extend the stabilised MLS approach to the MLPG method for heat conduction problem.
Rituraj Singh, Krishna Mohan Singh
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The MLPG for crack analyses in composites with flexoelectricity effects
Composite Structures, 2018Abstract The meshless Petrov-Galerkin (MLPG) method is developed to analyse 2-D crack problems where the electric field and displacement gradients exhibit a size effect. The size-effect phenomenon in micro/nano electronic structures is described by the strain- and electric field-gradients.
Jan Sladek, Vladimir Sladek, Milan Jus
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