Meshless simulation of dam break using MLPG-RBF and shallow water equations
This article focuses on the application of the meshless local Petrov-Galerkin (MLPG) method to solve the shallow water equations (SWE). This localized approach is based on the meshless weak formulation with the use of radial-basis functions (RBF) as the ...
Mužík Juraj, Holičková Martina
doaj +1 more source
A meshless local Petrov–Galerkin method for the time-dependent Maxwell equations
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Mehdi Dehghan 0002, Rezvan Salehi
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Meshless Local Petrov-Galerkin Method for 3D Steady-State Heat Conduction Problems
The Meshless Local Petrov-Galerkin (MLPG) method is applied for solving the three-dimensional steady state heat conduction problems. This method is a truly meshless approach; also neither the nodal connectivity nor the background mesh is required for ...
M. J. Mahmoodabadi +3 more
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Numerical approximation of the fractional HIV model using the meshless local Petrov–Galerkin method
This paper deals with the model of fractional HIV-1 infection of CD4+T cells transformation with homogeneous Neumann boundary conditions. Numerical methods for solving fractional time differential equations are developed with Caputo’s definition.
Kunwithree Phramrung +2 more
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Monitoring network design with MLPG-TLBO hybrid model (case study Birjand, Iran)
As the groundwater quantitative monitoring aimed to determine the factors affecting the aquifer behavior plays an important role in its regional management, studying the temporal and spatial groundwater level variations requires a comprehensive ...
Nahid Majidi Khalilabad +3 more
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Meshless Local Petrov-Galerkin Method in Anisotropic Elasticity
A meshless method based on the local Petrov-Galerkin approach is proposed for solution of static and elastodynamic problems in a homogeneous anisotropic medium. The Heaviside step function is used as the test functions in the local weak form. It is leading to derive local boundary integral equations (LBIEs).
Sladek, J., Sladek, V., Atluri, S. N.
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Analysis of Two Dimensional Steady-State Heat Conduction Problems by MLPG Method [PDF]
Numerical solutions obtained by the Meshless local Petrov–Galerkin (MLPG) method are presented for two-dimensional steady-state heat conduction problems.
GholamHosein Baradaran +1 more
doaj
Analysis of Piezoelectric Semiconducting Solids by Meshless Method
In this paper, a meshless local Petrov-Galerkin (MLPG) method is proposed to calculate mechanical and electrical responses of three-dimensional piezoelectric semiconductors under static load.
Staňák P., Sládek J., Sládek V.
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Numerical MLPG Analysis of Piezoelectric Sensor in Structures
The paper deals with a numerical analysis of the electro-mechanical response of piezoelectric sensors subjected to an external non-uniform displacement field.
Staňák Peter +3 more
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Exact Dirichlet boundary multi‐resolution hash encoding solver for structures
Abstract Designed to address computationally expensive scientific problems, physics‐informed neural networks (PINNs) have primarily focused on solving issues involving relatively simple geometric shapes. Drawing inspiration from exact Dirichlet boundary PINN and neural representation field, this study first develops a multi‐resolution hash encoding ...
Xiaoge Tian, Jiaji Wang, Xinzheng Lu
wiley +1 more source

