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Meshless Methods for Computational Mechanics
, 2019 <p>Citing this release</p> <p>Castro SGP. Meshless Methods for Computational Mechanics. DOI: 10.5281/zenodo.2546927. Version 0.1.28. 2019.</p> <p> </p> <p>Information</p> <p>Setup and tests ...
saullocastro
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Meshless methods and forming processes [PDF]
, 2009 Meshless methods are interesting for simulating large-deformation forming processes. Mesh related problems, as occuring with finite elements are expected to be avoided. In this paper, two meshless methods (SPH and EFG) are compared to FEM in an extrusion
Huetink, Han +3 more
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Maximum‐Entropy‐Based Meshless Modeling of Surface‐Tension‐Driven Large Deformation
International Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.ABSTRACT Soft material modeling is challenging due, among others, to the substantial structural changes these materials undergo. In this context, meshless methods offer a promising alternative to overcome the limitations of established mesh‐based approximations such as finite elements. However, they introduce new challenges.
Rodrigo Castillo‐Acuna +2 more
wiley +1 more source
Kernel-Based Meshless Methods [PDF]
, 2009 In order to improve their applicability as a tool for solving partial differential equations in computational science, we equip kernel-based meshless methods with a number of new capabilities.
Corrigan, Andrew
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Applied Sciences, 2022 An efficient boundary-type meshless computational approach, namely, the virtual boundary meshless Galerkin method (VBMGM), as the partial differential equation on the weak term is shown for solving the axial compression on the part boundary of the ...
Jing Ling, Hongying Wang, Hongzhong Mou
doaj +1 more source
A review of numerical methods for flow and transport modeling in the vadose zone
Vadose Zone Journal, Volume 25, Issue 5, September/October 2026.Abstract Accurate modeling of subsurface flow and transport processes in the vadose zone, governed by the Richards equation and advection‐dispersion equation, respectively, poses major numerical challenges due to the strong nonlinearity of the governing partial differential equations, spatial heterogeneity and anisotropy of the media parameters, and ...
Shruti Jain, Saumava Dey, B. R. Chahar
wiley +1 more source
Radial basis function based meshless methods for fluid flow problems
, 2006 This thesis is concerned with the development of meshless methods using radial basis functions for solving fluid flow problems. The advantage of meshless methods over traditional mesh-based methods is that they make use of a scattered set of collocation ...
Chinchapatnam, Phani P. +1 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13148-13175, August 2026.ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACTLattice systems are indispensable for modeling and analyzing physical phenomena in materials with discrete or heterogeneous micro‐ or meso‐structures. However, the computational requirements for practical engineering applications of lattice systems remain high.
Benjamin Werner +2 more
wiley +1 more source
An advanced meshless method for time fractional diffusion equation [PDF]
, 2011 Recently, because of the new developments in sustainable engineering and renewable energy, which are usually governed by a series of fractional partial differential equations (FPDEs), the numerical modeling and simulation for fractional calculus are ...
刘青 +9 more
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