| 期刊全稱 | A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations | | 影響因子2023 | Marc Alexander Schweitzer | | 視頻video | http://file.papertrans.cn/142/141629/141629.mp4 | | 發(fā)行地址 | Includes supplementary material: | | 學(xué)科分類 | Lecture Notes in Computational Science and Engineering | | 圖書封面 |  | | 影響因子 | the solution or its gradient. These new discretization techniques are promising approaches to overcome the severe problem of mesh-generation. Furthermore, the easy coupling of meshfree discretizations of continuous phenomena to dis- crete particle models and the straightforward Lagrangian treatment of PDEs via these techniques make them very interesting from a practical as well as a theoretical point of view. Generally speaking, there are two different types of meshfree approaches; first, the classical particle methods [104, 105, 107, 108] and second, meshfree discretizations based on data fitting techniques [13, 39]. Traditional parti- cle methods stem from physics applications like Boltzmann equations [3, 50] and are also of great interest in the mathematical modeling community since many applications nowadays require the use of molecular and atomistic mod- els (for instance in semi-conductor design). Note however that these methods are Lagrangian methods; i. e. , they are based On a time-dependent formulation or conservation law and can be applied only within this context. In a particle method we use a discrete set of points to discretize the domain of interest and the solution | | Pindex | Book 2003 |
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