Results 91 to 100 of about 1,207,944 (247)
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
Simulation of the acoustic wave propagation using a meshless method
EPJ Web of Conferences, 2017 This paper presents numerical simulations of the acoustic wave propagation phenomenon modelled via Linearized Euler equations. A meshless method based on collocation of the strong form of the equation system is adopted.
Bajko J. +3 more
doaj +1 more source
Alexandria Engineering Journal, 2018 The current work presents a computational scheme to solve weakly singular integral equations of the second kind. The discrete collocation method in addition to the moving least squares (MLS) technique established on scattered points is utilized to ...
Pouria Assari
doaj +1 more source
A collocation meshless method based on local optimal point interpolation
International Journal for Numerical Methods in Engineering, 2003 AbstractThis paper deals with the use of the local optimal point interpolating (LOPI) formula in solving partial differential equations (PDEs) with a collocation method. LOPI is an interpolating formula constructed by localization of optimal point interpolation formulas that reproduces polynomials and verifies the delta Kronecker property.
Zuppa, Carlos, Cardona, Alberto
openaire +3 more sources
A review of multiscale numerical modeling of rock mechanics and rock engineering
Deep Underground Science and Engineering, Volume 4, Issue 3, Page 382-405, September 2025.Multiscale numerical methods of rock mechanics and rock engineering are reviewed, and the review results show that more attention should be paid to the development of an advanced constitutive model in addition to numerical techniques themselves. Abstract Rock is geometrically and mechanically multiscale in nature, and the traditional phenomenological ...
Xindong Wei, Zhe Li, Gaofeng Zhao
wiley +1 more source
Extrapolation Boundary Conditions for 2‐D Smoothed Particle Hydrodynamics
International Journal for Numerical Methods in Fluids, Volume 97, Issue 9, Page 1248-1279, September 2025.This paper introduces novel inflow, outflow, and wall boundaries for the WCSPH method. Utilising innovative concepts from finite volume methods, fluid properties of sequential dynamic particles with varying distances to boundaries are extrapolated to ghost and wall particles using first‐order Taylor series expansion.
Hossein Mahdizadeh +3 more
wiley +1 more source
Nodal integration of meshless methods [PDF]
, 2009 Meshless methods offer interesting properties for the simulation of bulk forming\ud processes. This research concerns the investigation of the stabilized conforming nodal integration scheme (SCNI) for use in metal-forming processes. Two tests are carried
Boogaard, A.H. van den, Quak, W.
core +1 more source
Mathematics, 2017 This study aimed at investigating a local radial basis function collocation method (LRBFCM) in the reproducing kernel Hilbert space. This method was, in fact, a meshless one which applied the local sub-clusters of domain nodes for the approximation of ...
Hananeh Nojavan +2 more
doaj +1 more source
On the use of local max-ent shape functions for the simulation of forming processes [PDF]
, 2009 In this work we review the opportunities given by the use of local maximum-\ud entropy approximants (LME) for the simulation of forming processes.
Boogaard, A.H. van den +3 more
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Refined Meshless Local Strong Form solution of Cauchy-Navier equation on an irregular domain
, 2019 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
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