[PDF][PDF] Meshless local Petrov-Galerkin and RBFs collocation methods for solving 2D fractional Klein-Kramers dynamics equation on irregular domains

M Dehghan, M Abbaszadeh… - Comput Model Eng Sci, 2015 - cdn.techscience.cn
In the current paper the two-dimensional time fractional Klein-Kramers equation which
describes the subdiffusion in the presence of an external force field in phase space has been …

[HTML][HTML] A three-dimensional Petrov-Galerkin finite element interface method for solving inhomogeneous anisotropic Maxwell's equations in irregular regions

M Zhao, J Shi, L Wang - Computers & Mathematics with Applications, 2023 - Elsevier
… We consider the time-harmonic Maxwell interface problem with inhomogeneous anisotropic
media in irregular region. For convenience, assume that Ω is a three-dimensional domain, …

Computational complexity and parallelization of the meshless local PetrovGalerkin method

R Trobec, M Šterk, B Robič - Computers & Structures, 2009 - Elsevier
irregular domain shapes. Several mesh mapping techniques exist for using FDM on irregularly
shaped domains … nodes can be used for the domain discretization. The trial function of the …

Application of meshless local Petrov-Galerkin (MLPG) approach to simulation of incompressible flow

YL Wu, GR Liu, YT Gu - Numerical Heat Transfer, Part B …, 2005 - Taylor & Francis
… The meshless local Petrov-Galerkin (MLPG) method is an effective local mesh-free method
… simulate the incompressible flow within an irregular domain with scattered nodal distribution. …

A hybrid meshless local PetrovGalerkin method for unbounded domains

AJ Deeks, CE Augarde - Computer Methods in Applied Mechanics and …, 2007 - Elsevier
… This paper has extended the meshless local PetrovGalerkin method to handle unbounded
… using the conventional meshless local PetrovGalerkin method, thus potentially allowing the …

Numerical study of the unsteady 2D coupled magneto-hydrodynamic equations on regular/irregular pipe using direct meshless local PetrovGalerkin method

E Bahmani, A Shokri - Applied Mathematics and Computation, 2022 - Elsevier
… Providing error bounds and comparing the output of the method with other methods, as
well as implementing the method on different irregular domains and using random points are …

[PDF][PDF] Meshless local Petrov-Galerkin collocation method for two-dimensional heat conduction problems

X Wu, S Shen, W Tao - Computer Modeling in Engineering and …, 2007 - nht.xjtu.edu.cn
… local PetrovGalerkin (MLPG) collocation method to solve two steady-state heat conduction
problems with irregular domain … two problems with irregular domain are compared with FVM …

The natural neighbour PetrovGalerkin method for thick plates

SL Li, KY Liu, SY Long, GY Li - Engineering analysis with boundary …, 2011 - Elsevier
PetrovGalerkin method (NNPG) is presented for a plate described by the Mindlin theory.
The discrete model of the domain Ω … In the NNPG, the trial functions on a local domain are …

A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics

SN Atluri, T Zhu - Computational mechanics, 1998 - Springer
… the ``domain of definition of point x'') we mean a sub-domain … ``the domain of influence of
node xi'' we denote a sub-domain … the domain of influence of a node is the union of the domains

[HTML][HTML] Adaptive anisotropic PetrovGalerkin methods for first order transport equations

W Dahmen, G Kutyniok, WQ Lim, C Schwab… - … of Computational and …, 2018 - Elsevier
… from hierarchies of nested meshes with and without irregular nodes to non-nested meshes
… adaptive discretizations in the physical domain within sparse tensor approximations of high-…