Results 61 to 70 of about 8,847 (203)

Fast and flexible interpolation via PUM with applications in population dynamics

, 2015
In this paper the Partition of Unity Method (PUM) is efficiently performed using Radial Basis Functions (RBFs) as local approximants. In particular, we present a new space-partitioning data structure extremely useful in applications because of its ...
Cavoretto, Roberto, De Rossi, Alessandra, Perracchione, Emma   +2 more
core   +1 more source

A Comparative Study of Physics‐Informed and Data‐Driven Neural Networks for Compound Flood Simulation at River‐Ocean Interfaces: A Case Study of Hurricane Irene

Journal of Geophysical Research: Machine Learning and Computation, Volume 2, Issue 4, December 2025.
Abstract Simulating compound flooding (CF) at the river‐ocean interface within large‐scale Earth System Models (ESMs) presents significant challenges due to complex interactions between river discharge, storm surge, and tides. This study assesses the comparative advantages of physics‐informed and data‐driven machine learning (ML) approaches for ...
Dongyu Feng, Zeli Tan, Zihan Lin, Donghui Xu, Cheng‐Wei Yu, QiZhi He   +5 more
wiley   +1 more source

An Adaptive SPH Method (ADP‐SPH) for Simulating Solute Transport in Heterogeneous Aquifers

Water Resources Research, Volume 61, Issue 12, December 2025.
Abstract Smoothed Particle Hydrodynamics (SPH) is a meshfree, Lagrangian‐based approach used to solve the advection‐dispersion equation (ADE) of groundwater solute transport. It is well known that the accuracy of SPH deteriorates significantly when particles become irregularly distributed, often occurring in heterogeneous aquifers.
Tian Jiao, Ming Ye, Jinxi Song, Jing Yang, Maosheng Yin   +4 more
wiley   +1 more source

Meshfree Variational-Physics-Informed Neural Networks (MF-VPINN): An Adaptive Training Strategy

Algorithms
In this paper, we introduce a Meshfree Variational-Physics-Informed Neural Network. It is a Variational-Physics-Informed Neural Network that does not require the generation of the triangulation of the entire domain and that can be trained with an ...
Stefano Berrone, Moreno Pintore
doaj   +1 more source

An extended finite element method with smooth nodal stress [PDF]

, 2013
The enrichment formulation of double-interpolation finite element method (DFEM) is developed in this paper. DFEM is first proposed by Zheng \emph{et al} (2011) and it requires two stages of interpolation to construct the trial function.
Bordas, S. P. A., Kulasegaram, S., Peng, X., Wu, S. C.   +3 more
core  

The Discretization‐Corrected Particle Strength Method for the Barotropic Vorticity Equations

International Journal for Numerical Methods in Fluids, Volume 97, Issue 11, Page 1426-1440, November 2025.
Numerical solution for the barotropic vorticity equation in complex geometry using the meshless point collocation method. The spatial domain is represented by a set of nodes. The collocation method numerically solves the strong form governing equations.
G. C. Bourantas, A. Sakellarios, N. Malamos, V. C. Loukopoulos, V. N. Burganos, K. Miller, A. Langousis, D. I. Fotiadis, A. A. Dimas, V. M. Calo   +9 more
wiley   +1 more source

A mesh-free simulation of mode I delamination of composite structures

Science and Engineering of Composite Materials, 2014
A numerical and experimental investigation for the analysis of delamination problem under mode I loading in composite material is presented. Firstly, the simulation of the delamination under mode I loading and failure of composite materials based on the ...
Hesar Goudarz Ghanizadeh, Pekbey Yeliz, Yildiz Hasan, Maleiki Farshid Khosravi   +3 more
doaj   +1 more source

Comparison of meshfree displacement and stress error recovery of finite element solutions using moving least squares interpolation

Advances in Mechanical Engineering, 2022
The moving least square (MLS) interpolation based the recovery procedures have been successfully applied to recover the finite element solution errors in the analysis of elastic plates and pipes problems and can be advantageously applied for large ...
Mohd. Ahmed, Devinder Singh, Saeed AlQadhi, Majed A Alrefae   +3 more
doaj   +1 more source

A Flexible Derivation Approach for the Numerical Solution of Partial Differential Equations

Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.
ABSTRACT We propose a new method for the numerical solution of boundary value problems associated to partial differential equations. This method is based on standard approximation techniques, like numerical differentiation of univariate functions and curve interpolation, so it can be easily generalized to high‐dimensional problems.
Nadaniela Egidi, Josephin Giacomini, Pierluigi Maponi   +2 more
wiley   +1 more source

Veamy: an extensible object-oriented C++ library for the virtual element method

, 2018
This paper summarizes the development of Veamy, an object-oriented C++ library for the virtual element method (VEM) on general polygonal meshes, whose modular design is focused on its extensibility.
Alvarez, Catalina, Hitschfeld-Kahler, Nancy, Olate-Sanzana, Edgardo, Ortiz-Bernardin, Alejandro, Russo, Alessandro, Silva-Valenzuela, Rodrigo   +5 more
core   +1 more source