Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6915495 | Computer Methods in Applied Mechanics and Engineering | 2018 | 26 Pages |
Abstract
The tests that we report show that, in accordance to the literature, a sparse-grid construction can indeed be useful if the solution of the PDE at hand is sufficiently smooth. Sparse grids can also be useful in the case of non-smooth solutions when some a-priori knowledge on the location of the singularities of the solution can be exploited to devise suitable non-equispaced meshes. Finally, we remark that sparse grids can be seen as a simple way to parallelize pre-existing serial IGA solvers in a straightforward fashion, which can be beneficial in many practical situations.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Joakim Beck, Giancarlo Sangalli, Lorenzo Tamellini,