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
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
doaj +1 more source
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
doaj +1 more source
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
A modified meshless local Petrov-Galerkin method for solid mechanics. [PDF]
Summary A meshless local Petrov-Galerkin method ...
K Y Liu, G Y Li, S Y Long
core
ABSTRACT This research article introduces a high‐order finite element model based on the first‐order shear deformation theory to analyze the hygrothermal static responses of nanoscale, multidirectional nanofunctionally graded piezoelectric (NFGP) plates resting on variable elastic foundations. The study considers the material properties of these plates,
Pawan Kumar, Suraj Prakash Harsha
wiley +1 more source
Structural Reliability Assessment by a Modified Spectral Stochastic Meshless Local Petrov-Galerkin Method [PDF]
This study presents a new tool for solving stochastic boundary-value problems. This tool is created by modify the previous spectral stochastic meshless local Petrov-Galerkin method using the MLPG5 scheme.
Guang Yih Sheu
core
The meshless local Petrov-Galerkin method for simulating unsteady incompressible fluid flow [PDF]
This article presents a numerical algorithm using the Meshless Local Petrov-Galerkin (MLPG) method for the incompressible Navier–Stokes equations. To deal with time derivatives, the forward time differences are employed yielding the Poisson’s equation ...
Luadsong, A., Sataprahm, C.
core +1 more source
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.
doaj +1 more source
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
doaj +1 more source

