Results 61 to 70 of about 7,547 (205)
AIP Advances, 2021 In this paper, a novel meshfree approach is proposed for the three-dimensional free vibration analysis of laminated composite combination shells. The three-dimensional theory of elasticity is applied to the formulation for free vibration analysis of ...
Songhun Kwak, Kwanghun Kim
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International Journal for Numerical and Analytical Methods in Geomechanics, Volume 49, Issue 17, Page 4225-4247, 10 December 2025.ABSTRACT Internal erosion in gap‐graded soils poses significant risks to water‐retaining structures such as earth dams. However, its underlying mechanisms at the particle scale remain poorly understood. This study couples the discrete element method (DEM) with computational fluid dynamics (CFD) to simulate internal erosion in gap‐graded soil assemblies
Jie Qi +3 more
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Meshfree method for fluctuating hydrodynamics [PDF]
Mathematics and Computers in Simulation, 2012 17 pages, 2 ...
Pandey, Anamika +2 more
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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
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Enriched Meshfree Method for an Accurate Numerical Solution of the Motz Problem
Advances in Mathematical Physics, 2016 We present an enriched meshfree solution of the Motz problem. The Motz problem has been known as a benchmark problem to verify the efficiency of numerical methods in the presence of a jump boundary data singularity at a point, where an abrupt change ...
Won-Tak Hong
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Full-Vectorial Meshfree Spectral Method for Optical-Waveguide Analysis
IEEE Photonics Journal, 2013 A full-vectorial multidomain spectral method (MDSM) for optical modal analysis is developed and presented. The formulation is based on considering the coupling between the transverse magnetic (TM) field components as the other electromagnetic components ...
Fahhad Alharbi
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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
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MathematicsOver the last two decades, meshfree Galerkin methods have become increasingly popular in solid and fluid mechanics applications. A variety of these methods have been developed, each incorporating unique meshfree approximation schemes to enhance their ...
Hongtao Yang, Hao Wang, Bo Li
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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 +2 more
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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
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