Nguyen, V.P., Rabczuk, T., Bordas, S. and Duflot, M. (2008) Meshless methods: review and key computer implementation aspects. Mathematics and Computers in Simulation, 79, pp. 763-813. (doi: 10.1016/j.matcom.2008.01.003)
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Abstract
The aim of this manuscript is to give a practical overview of meshless methods (for solid mechanics) based on global weak forms through a simple and well-structured MATLAB code, to illustrate our discourse. The source code is available for download on our website and should help students and researchers get started with some of the basic meshless methods; it includes intrinsic and extrinsic enrichment, point collocation methods, several boundary condition enforcement schemes and corresponding test cases. Several one and two-dimensional examples in elastostatics are given including weak and strong discontinuities and testing different ways of enforcing essential boundary conditions.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Bordas, Dr Stephane |
| Authors: | Nguyen, V.P., Rabczuk, T., Bordas, S., and Duflot, M. |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | Mathematics and Computers in Simulation |
| ISSN: | 0378-4754 |
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