A numerical implementation for the high-order 2D Virtual Element Method in MATLAB
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| Авторы: | , , , |
|---|---|
| Формат: | artículo preliminar |
| Дата публикации: | 2021 |
| Описание: | We present a numerical implementation for the Virtual Element Method that in- corporates high order spaces. We include all the required computations in order to assemble the stiffness and mass matrices, and right hand side. Convergence of method is verified for different polygonal partitions. An specific mesh-free application that allows to approximate harmonic func- tions is discussed, based on high-order projections. This approach significantly improves running times compared to usual finite or virtual element methods, and can be modified for different virtual spaces and elliptic partial differential equations. |
| Страна: | Kérwá |
| Институт: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Язык: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/84311 |
| Online-ссылка: | https://link.springer.com/article/10.1007/s11075-022-01361-4 https://hdl.handle.net/10669/84311 https://doi.org/10.1007/s11075-022-01361-4 |
| Ключевое слово: | Virtual element methods Polygonal mesh Matlab implementation |