Szczegóły publikacji
Opis bibliograficzny
Fast isogeometric solvers for hyperbolic wave propagation problems / M. ŁOŚ, P. Behnoudfar, M. PASZYŃSKI, V. M. Calo // Computers and Mathematics with Applications ; ISSN 0898-1221. — 2020 — vol. 80 iss. 1, s. 109–120. — Bibliogr. s. 119-120, Abstr. — Publikacja dostępna online od: 2020-03-19
Autorzy (4)
- AGHŁoś Marcin Mateusz
- Behnoudfar Pouria
- AGHPaszyński Maciej
- Calo V. M.
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 128379 |
|---|---|
| Data dodania do BaDAP | 2020-05-13 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.camwa.2020.03.002 |
| Rok publikacji | 2020 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Computers & Mathematics with Applications |
Abstract
We use the alternating direction method to simulate implicit dynamics. Our spatial discretization uses isogeometric analysis. Namely, we simulate a (hyperbolic) wave propagation problem in which we use tensor-product B-splines in space and an implicit time marching method to fully discretize the problem. We approximate our discrete operator as a Kronecker product of one-dimensional mass and stiffness matrices. As a result of this algebraic transformation, we can factorize the resulting system of equations in linear (i.e., O(N)) time at each step of the implicit method. We demonstrate the performance of our method in the model P-wave propagation problem. We then extend it to simulate the linear elasticity problem once we decouple the vector problem using alternating triangular methods. We prove theoretically and experimentally the unconditional stability of both methods. © 2020