Results 41 to 50 of about 1,207,944 (247)
Meshless deformable models for LV motion analysis [PDF]
, 2008 We propose a novel meshless deformable model for in vivo cardiac left ventricle (LV) 3D motion estimation. As a relatively new technology, tagged MRI (tMRI) provides a direct and noninvasive way to reveal local deformation of the myocardium, which ...
Dimitis Metaxas +3 more
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A meshless Galerkin method for non-local diffusion using localized kernel bases
Mathematics of Computation, 2018 We introduce a meshless method for solving both continuous and discrete variational formulations of a volume constrained, nonlocal diffusion problem. We use the discrete solution to approximate the continuous solution. Our method is nonconforming and uses a localized Lagrange basis that is constructed out of radial basis functions.
Lehoucq, R. B. +3 more
openaire +2 more sources
Meshless simulation of dam break using MLPG-RBF and shallow water equations
MATEC Web of Conferences, 2017 This article focuses on the application of the meshless local Petrov-Galerkin (MLPG) method to solve the shallow water equations (SWE). This localized approach is based on the meshless weak formulation with the use of radial-basis functions (RBF) as the ...
Mužík Juraj, Holičková Martina
doaj +1 more source
Generalized Finite Difference Method for Plate Bending Analysis of Functionally Graded Materials
Mathematics, 2020 In this paper, an easy-to-implement domain-type meshless method—the generalized finite difference method (GFDM)—is applied to simulate the bending behavior of functionally graded (FG) plates.
Yu-Dong Li, Zhuo-Chao Tang, Zhuo-Jia Fu
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MLPG analysis method for local buckling of ship opening beams
Zhongguo Jianchuan Yanjiu, 2021 ObjectivesIn order to solve the problems of the local buckling effect and obvious structural response and buckling failure force caused by high concentrated load, a meshless numerical method is proposed to simulate the problem.MethodsBased on discrete ...
Yu DUANMU +3 more
doaj +1 more source
A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels
, 2018 Recent developments have made it possible to overcome grid-based limitations of finite difference (FD) methods by adopting the kernel-based meshless framework using radial basis functions (RBFs). Such an approach provides a meshless implementation and is
Fasshauer, Gregory E +3 more
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Thermal Science, 2023 The numerical solution of the 2-D time-fractional Sobolev equations is approximated using an efficient local differential quadrature method, in this paper. The time-fractional part of the model equations uses the Liouville-Caputo fractional derivative
Bander N. Almutairi +4 more
semanticscholar +1 more source
Deep Underground Science and Engineering, EarlyView.In this article, the finite element method‐smoothed particle hydrodynamics adaptive coupling algorithm is applied to numerically simulate and analyze the dynamic response of the slit tube and the crack propagation under high in situ stress. The dynamic response of the slit tube mainly exhibits radial response in the vertical direction of the slit and ...
Zhe Sui +3 more
wiley +1 more source
Adaptive meshless refinement schemes for RBF-PUM collocation
, 2018 In this paper we present an adaptive discretization technique for solving elliptic partial differential equations via a collocation radial basis function partition of unity method. In particular, we propose a new adaptive scheme based on the construction
Cavoretto, R., De Rossi, A.
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Moving-boundary problems solved by adaptive radial basis functions [PDF]
, 2010 The objective of this paper is to present an alternative approach to the conventional level set methods for solving two-dimensional moving-boundary problems known as the passive transport. Moving boundaries are associated with time-dependent problems and
Atluri +42 more
core +2 more sources