Results 151 to 160 of about 10,988,138 (193)
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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 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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Review on the local weak form-based meshless method (MLPG): Developments and Applications in Ocean Engineering [PDF]
Applied Ocean Research, 2021 This paper reviews the developments and applications of meshfree method based on MLPG (Meshless Local Petrov Galerkin) in ocean engineering, primarily from the work carried out at IIT Madras and City, University of London, UK.
V Sriram
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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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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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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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GMRES Solver for MLPG Method Applied to Heat Conduction
Volume 11: Heat Transfer and Thermal Engineering, 2020Abstract In recent years, meshless local Petrov-Galerkin (MLPG) method has emerged as the promising choice for solving variety of scientific and engineering problems. MLPG formulation leads to a non-symmetric system of algebraic equations.
Abhishek Kumar Singh, Krishna Singh
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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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Meshless local Petrov‐Galerkin (MLPG) methods in quantum mechanics
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 2011PurposeThe purpose of this paper is to solve both eigenvalue and boundary value problems coming from the field of quantum mechanics through the application of meshless methods, particularly the one known as meshless local Petrov‐Galerkin (MLPG).Design/methodology/approachRegarding eigenvalue problems, the authors show how to apply MLPG to the time ...
Nicomedes, Williams L. +2 more
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