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A consistently coupled isogeometric–meshfree method

Computer Methods in Applied Mechanics and Engineering, 2014
National Natural Science Foundation of China [11222221]A consistently coupled isogeometric-meshfree method is presented. This method takes advantage of the geometry exactness of isogeometric analysis and the refinement flexibility of meshfree method. The
Dongdong Wang, Hanjie Zhang
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Meshfree simulation of deforming domains

Computer-Aided Design, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vladimir A. Shapiro, Igor G. Tsukanov
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MESHFREE METHODS AND THEIR COMPARISONS

International Journal of Computational Methods, 2005
In recent years, one of the hottest topics in computational mechanics is the meshfree or meshless method. Increasing number of researchers are devoting themselves to the research of the meshfree methods, and a group of meshfree methods have been proposed and used to solve the ordinary differential equations (ODEs) or the partial differential equations (
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Spline‐based meshfree method

International Journal for Numerical Methods in Engineering, 2012
SUMMARYIn the present work, the spline‐based meshfree method (SBMFM) is presented. The SBMFM uses spline basis functions for field variables and boundary representation. Because of the inherent properties of splines, that is, NURBS (nonuniform rational B‐splines), the analysis domain used in the SBMFM has its own parametric domain. Unlike the classical
Kim, HJ Kim, Hyun-Jung, Youn, SK Youn, Sung-Kie   +1 more
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The least‐squares meshfree method

International Journal for Numerical Methods in Engineering, 2001
AbstractA new efficient meshfree method is presented in which the first‐order least‐squares method is employed instead of the Galerkin's method. In the meshfree methods based on the Galerkin formulation, the source of many difficulties is in the numerical integration. The current method, in this respect, has different characteristics and is expected to
Park, SH, Youn, SK Youn, Sung-Kie
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Optimization of structures modeled with a meshfree approach

2014 Sixth World Congress on Nature and Biologically Inspired Computing (NaBIC 2014), 2014
Radial basis functions are being used in different scientific areas in order to reproduce the geometrical modeling of an object/structure, as well as to predict its behavior. Due to its characteristics, these functions are well suited for meshfree modeling of physical quantities, which for instances can be associated to the data sets of 3D laser ...
Bernardo, G. M. S., Loja, Amélia
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Adaptive Meshfree Backward SDE Filter

SIAM Journal on Scientific Computing, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Bao, Vasileios Maroulas
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On meshfree numerical differentiation

Analysis and Applications, 2018
We combine techniques in meshfree methods and Gaussian process regressions to construct kernel-based estimators for numerical derivatives from noisy data. Specially, we construct meshfree estimators from normal random variables, which are defined by kernel-based probability measures induced from symmetric positive definite kernels, to reconstruct the ...
Ling, Leevan, Ye, Qi
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A review on connection between meshfree peridynamics and meshfree methods

AIP Conference Proceedings, 2021
Mas Irfan P. Hidayat, Tamiru A. Lemma, Affiani Machmudah   +2 more
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Meshfree Thinning of 3D Point Clouds

Foundations of Computational Mathematics, 2007
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Nira Dyn, Armin Iske, Holger Wendland
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