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A review on recent contribution of meshfree methods to structure and fracture mechanics applications. [PDF]
ScientificWorldJournal, 2014 Meshfree methods are viewed as next generation computational techniques. With evident limitations of conventional grid based methods, like FEM, in dealing with problems of fracture mechanics, large deformation, and simulation of manufacturing processes ...
Daxini SD, Prajapati JM.
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A simple, effective and high-precision boundary meshfree method for solving 2D anisotropic heat conduction problems with complex boundaries. [PDF]
Sci RepA simple, effective and high-precision boundary meshfree method called virtual boundary meshfree Galerkin method (VBMGM) is used to tackle 2D anisotropic heat conduction problems with complex boundaries. Temperature and heat flux are expressed by virtual
Ling J, Yang D.
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, 2004 The aim of this chapter is to provide an in-depth presentation and survey of meshfree particle methods. Several particle approximations are reviewed; the SPH method, corrected gradient methods and the moving least squares (MLS) approximation. The discrete equations are derived from a collocation scheme or a Galerkin method. Special attention is paid to
Huerta, Antonio +3 more
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A Text-Mining-Based Approach for Conducting Literature Review of Selected Meshfree Methods
Computer Assisted Methods in Engineering and Science, 2022 The goal of this study is to review the literature in the field of meshfree methods using text mining. For this study, the abstracts of around 17 330 relevant articles published from 1990 to 2020 were collected from Scopus.
S. Sindhusuta +2 more
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Meshfree particle method [PDF]
Proceedings Ninth IEEE International Conference on Computer Vision, 2003 Many of the computer vision algorithms have been posed in various forms of differential equations, derived from minimization of specific energy functionals, and the finite element representation and computation have become the de facto numerical strategies for solving these problems. However, for cases where domain mappings between numerical iterations
Huafeng Liu 0003, Pengcheng Shi
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Meshfree methods for partial differential equations IX
, 2022 This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics ...
Griebel, Michael, Schweitzer, Marc
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Cardiac Electrophysiology Meshfree Modeling through the Mixed Collocation Method
Applied Sciences, 2023 We present the meshfree mixed collocation method (MCM) for cardiac electrophysiology simulation. Capitalizing on the meshfree property of MCM, we introduce an immersed grid approach for automated generation of meshfree node grids from medical image data.
Konstantinos A. Mountris, Esther Pueyo
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Numerical Investigation of Thermoelastic Crack Interactions in Various Materials using a Novel Enrichment Approach [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2023 Crack interaction studies play a crucial role in understanding and predicting the fracture behaviour of various engineering components subjected to thermomechanical loads.
Ayush Awasthi, Mohit Pant
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Mathematics, 2023 The accuracy of the conventional finite element (FE) approximation for the analysis of acoustic propagation is always characterized by an intractable numerical dispersion error.
Sina Dang, Gang Wang, Yingbin Chai
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A Novel Meshfree Strategy for a Viscous Wave Equation With Variable Coefficients
Frontiers in Physics, 2021 A one-step new general mesh free scheme, which is based on radial basis functions, is presented for a viscous wave equation with variable coefficients.
Fuzhang Wang +5 more
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