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Meshfree methods
About: Meshfree methods is a research topic. Over the lifetime, 2216 publications have been published within this topic receiving 69596 citations.
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TL;DR: In this article, the authors compare two different procedures to approximate the a posteriori error for the EFG method, both procedures are recovery based errors, and the performance of the two different approximations of the error is illustrated by analysing different examples for 2-D potential and elasticity problems with known analytical solutions, using regular and irregular clouds of points.
Abstract: Meshless methods still require considerable improvement before they equal the prominence of finite elements in computer science and engineering. In the Element Free Galerkin (EFG) method, it is obviously important that the error of approximation should be estimated, as it is in the Finite Element Method (FEM). In this paper we compare two different procedures to approximate the a posteriori error for the EFG method, both procedures are recovery based errors. The performance of the two different approximations of the error is illustrated by analysing different examples for 2-D potential and elasticity problems with known analytical solutions, using regular and irregular clouds of points. For irregular clouds of points, it is recommended to use smooth transition of nodes, thus creating areas of decreasing nodal densities.
10 citations
TL;DR: In this paper, the authors present a new method for topology optimization of geometrical nonlinear compliant mechanisms using the element-free Galerkin method (EFGM). And the EFGM is employed as an alternative scheme to numerically solve the state equations by fully taking advantage of its capability in dealing with large displacement problems.
10 citations
TL;DR: From comparisons it is shown that the new implementation of local RBF meshless scheme (nLRBFM) is of high effectiveness, high accuracy and excellent stability, to solve radiative heat transfer in homogeneous participating media.
10 citations