Szczegóły publikacji
Opis bibliograficzny
Linear computational cost implicit variational splitting solver with non-regular material data for parabolic problems / Paweł MACZUGA, Maciej PASZYŃSKI, Victor Calo // W: Computational Science – ICCS 2022 : 22nd international conference : London, UK, June 21–23, 2022 : proceedings, Pt. 2 / eds. Derek Groen, [et al.]. — Cham : Springer Nature Switzerland, cop. 2022. — (Lecture Notes in Computer Science ; ISSN 0302-9743 ; LNCS 13351). — ISBN: 978-3-031-08753-0; e-ISBN: 978-3-031-08754-7. — S. 132–138. — Bibliogr., Abstr. — Publikacja dostępna online od: 2022-06-24
Autorzy (3)
- AGHMaczuga Paweł
- AGHPaszyński Maciej
- Calo Victor Manuel
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 140675 |
|---|---|
| Data dodania do BaDAP | 2022-06-24 |
| DOI | 10.1007/978-3-031-08754-7_18 |
| Rok publikacji | 2022 |
| Typ publikacji | materiały konferencyjne (aut.) |
| Otwarty dostęp |  |
| Wydawca | Springer |
| Konferencja | 22nd International Conference on Computational Science |
| Czasopismo/seria | Lecture Notes in Computer Science |
Abstract
We employ a variational splitting for the Crank-Nicolson method and Pennes bioheat equation modeling the heating of the human head as a result of the cellphone antenna radiation. The solution of the system of equations resulting from the 3D discretization of the implicit time integration scheme with the Crank-Nicolson method has O(N2) complexity using direct solver, resulting in the exact solution. Iterative solvers (e.g., multi-grid solvers) deliver O(Nk) computational cost resulting in an approximate solution. The alternating direction implicit solver delivers O(N) complexity instead; it provides the exact solution (as the direct solver). Still, it requires a regular tensor product structure of the material data. In this paper, we propose a method for generalizing the linear computational cost alternating direction implicit solver using the Crank-Nicolson scheme into non-regular material data.