Results 61 to 70 of about 3,370 (223)
Physics‐informed neural operator solver and super‐resolution for solid mechanics
Abstract Physics‐Informed Neural Networks (PINNs) have solved numerous mechanics problems by training to minimize the loss functions of governing partial differential equations (PDEs). Despite successful development of PINNs in various systems, computational efficiency and fidelity prediction have remained profound challenges.
Chawit Kaewnuratchadasorn +2 more
wiley +1 more source
A node-based smoothed conforming point interpolation method (NS-CPIM) for elasticity problems [PDF]
This paper formulates a node-based smoothed conforming point interpolation method (NS-CPIM) for solid mechanics. In the proposed NS-CPIM, the higher order conforming PIM shape functions (CPIM) have been constructed to produce a continuous and piecewise ...
Liu G. R. +7 more
core +2 more sources
Abstract The element‐free Galerkin (EFG) meshfree method is employed in this research to compute strain fields based on discrete displacement data obtained from digital image correlation (DIC). To validate the method's accuracy, both simulated images with highly heterogeneous deformations and real tests conducted on notched specimens with known ...
Giancarlo L. Gómez Gonzales +3 more
wiley +1 more source
MOVING LEAST-SQUARES APPROXIMATION TO BE USED WITH MESHLESS NUMERICAL ANALYSIS METHODS
in Bahasa Indonesia : Meshless Numerical Analysis Method adalah suatu metode analisa numerik yang berkembang dengan pesat sebagai alternatif metode elemen hingga (Finite Element Method) yang sudah cukup terkenal.
Pamuda Pudjisuryadi
doaj
The cable equation is one the most fundamental mathematical models in the neuroscience, which describes the electro-diffusion of ions in denderits. New findings indicate that the standard cable equation is inadequate for describing the process of electro-
Sayyed Mahmood Zabetzadeh +1 more
doaj
Refined Meshless Local Strong Form solution of Cauchy-Navier equation on an irregular domain
This paper considers a numerical solution of a linear elasticity problem, namely the Cauchy-Navier equation, using a strong form method based on a local Weighted Least Squares (WLS) approximation.
Kosec, Gregor, Slak, Jure
core +1 more source
Bernstein polynomials in element-free Galerkin method [PDF]
In the recent decades, meshless methods (MMs), like the element-free Galerkin method (EFGM), have been widely studied and interesting results have been reached when solving partial differential equations.
Garijo Verdejo, Daniel +3 more
core +2 more sources
Assessment of implicit adaptive mesh‐free CFD modelling
The paper shows results from an implicit meshless method suitable for the analysis of external aerodynamic flows. This research is using a cloud of points instead of cells, and several stencils are compared for the discretization of the flow equations, along with a least‐squares method.
Tao Zhang, George N. Barakos
wiley +1 more source
In the present study, an adjoint-based shape-optimization method is formulated for heat transfer enhancement in liquid-solid phase change problems, in which heat conduction is dominant.
Kenichi MORIMOTO +2 more
doaj +1 more source
Static and vibration analysis of functionally graded beams using refined shear deformation theory [PDF]
Static and vibration analysis of functionally graded beams using refined shear deformation theory is presented. The developed theory, which does not require shear correction factor, accounts for shear deformation effect and coupling coming from the ...
A Chakraborty +30 more
core +2 more sources

