Szczegóły publikacji
Opis bibliograficzny
Isogeometric Residual Minimization Method (iGRM) with direction splitting for non-stationary advection-diffusion problems / M. ŁOŚ, J. Muñoz-Matute, I. Muga, M. PASZYŃSKI // Computers and Mathematics with Applications ; ISSN 0898-1221. — 2020 — vol. 79 iss. 2, s. 213–229. — Bibliogr. s. 228–229, Abstr. — Publikacja dostępna online od: 2019-07-05
Autorzy (4)
- AGHŁoś Marcin Mateusz
- Muñoz-Matute Judit
- Muga Ignacio
- AGHPaszyński Maciej
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 126798 |
|---|---|
| Data dodania do BaDAP | 2020-01-14 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.camwa.2019.06.023 |
| Rok publikacji | 2020 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Computers & Mathematics with Applications |
Abstract
In this paper, we propose a novel computational implicit method, which we call Isogeometric Residual Minimization (iGRM) with direction splitting. The method mixes the benefits resulting from isogeometric analysis, implicit dynamics, residual minimization, and alternating direction solver. We utilize tensor product B-spline basis functions in space, implicit second order time integration schemes, residual minimization in every time step, and we exploit Kronecker product structure of the matrix to employ linear computational cost alternating direction solver. We implement an implicit time integration scheme and apply, for each space-direction, a stabilized mixed method based on residual minimization. We show that the resulting system of linear equations has a Kronecker product structure, which results in a linear computational cost of the direct solver, even using implicit time integration schemes together with the stabilized mixed formulation. We test our method on three advection–diffusion computational examples, including model “membrane” problem, the circular wind problem, and the simulations modeling pollution propagating from a chimney.
