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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
wiley +1 more source
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
doaj +1 more source
Meshfree Approximation for Multi-Asset Options [PDF]
, 2009 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.
Aanand Venkatramanan +3 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
wiley +1 more source
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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A meshfree-based local Galerkin method with condensation of degree of freedom [PDF]
, 2014 Condensation technique of degree of freedom is firstly proposed to improve the computational efficiency of meshfree method with Galerkin weak form. In present method, scattered nodes without connectivity are divided into several subsets by cells with ...
Li, Yangyang +4 more
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7th International Workshop on Meshfree Methods for Partial Differential Equations [PDF]
, 2015 Meshfree methods, particle methods, and generalized finite element methods have witnessed substantial development since the mid 1990s. The growing interest in these methods is due in part to the fact that they are extremely flexible numerical tools and ...
Griebel, Michael, Schweitzer, Marc
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Coupling of Point Collocation Meshfree Method and FEM for EEG Forward Solver
Journal of Applied Mathematics, 2012 For solving electroencephalographic forward problem, coupled method of finite element method (FEM) and fast moving least square reproducing kernel method (FMLSRKM) which is a kind of meshfree method is proposed.
Chany Lee +3 more
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Journal of Applied Fluid Mechanics, 2020 In hydrodynamics the applications range of incompressible flows is very wide. In this study, a robust, high order modeling approach is introduced, based on the MLPG meshfree method -based radial basis functions (RBF- MLPG) method, for solving the ...
I. Saeedpanah +2 more
doaj
Application of Meshfree Method in Geotechnical Engineering [PDF]
, 2013 Numerical methods are often used to solve complex engineering problems. Among them, finite element method (FEM) is the most widely used method. However, FEM can only model problems with finite deformation as divergence of solution may occur if there is ...
成威伯, Cheng, Wei-Po
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