Results 71 to 80 of about 1,494 (221)
A Meshfree Method for Simulating Myocardial Electrical Activity [PDF]
Computational and Mathematical Methods in Medicine, 2012 An element-free Galerkin method (EFGM) is proposed to simulate the propagation of myocardial electrical activation without explicit mesh constraints using a monodomain model. In our framework the geometry of myocardium is first defined by a meshfree particle representation that is, a sufficient number of sample nodes without explicit connectivities are
Heye Zhang, Huajun Ye, Wenhua Huang
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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 +5 more
wiley +1 more source
A meshfree method for solving the Monge–Ampère equation [PDF]
Numerical Algorithms, 2018 10 figures, 12 ...
Klaus Böhmer, Robert Schaback
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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 +4 more
wiley +1 more source
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 +9 more
wiley +1 more source
Coupling of the meshfree and finite element methods\ud for determination of the crack tip fields
, 2008 This paper develops a new concurrent simulation technique to couple the meshfree method with the finite element method (FEM) for the analysis of crack tip fields.
Zhang, L.C., Gu, YuanTong
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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 +2 more
wiley +1 more source
Meshfree Approximation for Multi-Asset Options [PDF]
We price multi-asset options by solving their price partial differential equations using a meshfree approach with radial basis functions under jump-diffusion and geometric Brownian motion frameworks. In the geometric Brownian motion framework, we propose
Aanand Venkatramanan, Emmanuel Hanert
core
, 2015 Plant food materials have a very high demand in the consumer market and therefore, improved food products and efficient processing techniques are concurrently being researched in food engineering.
Brown, Richard J. +7 more
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Engineering Reports, Volume 7, Issue 10, October 2025.The 2D, steady, laminar forced convection of a Carreau hybrid nanofluid (MgO–Ag/water) in a modified T‐shaped cavity with two outlets and a bottom inlet is investigated numerically in current work. The cold nanofluid enters from the inlet at the bottom with Tc$$ {T}_c $$ and velocity uc$$ {u}_c $$, while the vertical L‐shaped walls (W1$$ {W}_1 $$ and ...
Inayat Ullah +5 more
wiley +1 more source