Results 41 to 50 of about 5,975,162 (156)
Meshless methods: theory and application in 3D fracture modelling with level sets [PDF]
, 2010 Accurate analysis of fracture is of vital importance yet methods for effetive 3D calculations are currently unsatisfactory. In this thesis, novel numerical techniques are developed which solve many of these problems. This thesis consists two major parts:
ZHUANG, XIAOYING
core
Numerical Integration with Constraints for Meshless Local Petrov-Galerkin Methods [PDF]
, 2013 We propose numerical integration rules for meshless local Petrov- Galerkin methods (MLPG) employed to solve elliptic partial different equations (PDE) with Neumann boundary conditions.
Q. Zhang, L. Sun, G. Yang
core +1 more source
Exact Dirichlet boundary multi‐resolution hash encoding solver for structures
Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 25, Page 4172-4192, 20 October 2025.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 hybrid meshless local Petrov Galerkin method for unbounded domains.
, 2007 This paper provides the first coupling between a scaled boundary method and the meshless local Petrov-Galerkin method, for problems in ...
Augarde, C.E., Deeks, A.J.
core +1 more source
Numerical approximation of the fractional HIV model using the meshless local Petrov–Galerkin method
Advances in Difference Equations, 2019 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
International Journal of Mechanical System Dynamics, Volume 5, Issue 1, Page 40-66, March 2025.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
A class of Petrov-Galerkin finite element methods for the numerical solution of the stationary convection-diffusion equation. [PDF]
, 1996 A class of Petrov-Galerkin finite element methods is proposed for the numerical solution of the n dimensional stationary convection-diffusion equation.
Perella, A.J., Perella, Andrew James
core
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This paper introduces a coupled physics‐informed neural network (C–PINN) framework for simulating electron–lattice thermal conduction. The framework uses an additive Δ‐decomposition to couple the electron temperature Te and lattice temperature Tl, with a learnable correction term Δ(t, x) capturing spatial–temporal deviations from thermal equilibrium ...
Zhihong Che +5 more
wiley +1 more source
Numerical MLPG Analysis of Piezoelectric Sensor in Structures
Slovak Journal of Civil Engineering, 2014 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
International Journal of RF and Microwave Computer-Aided Engineering, Volume 2025, Issue 1, 2025.The design and analysis of nanoelectromechanical systems (NEMSs) provide significant challenges due to the dominance of surface forces, quantum‐scale effects, and complex material properties, where classical electrostatics and continuum mechanics become inadequate.
N. M. Mary Sindhuja +4 more
wiley +1 more source