Szczegóły publikacji
Opis bibliograficzny
Parallel fast isogeometric L2 projection solver with GALOIS system for 3D tumor growth simulations / Marcin ŁOŚ, Adrian KŁUSEK, Muhammad Amber Hassaan, Keshav Pingali, Witold DZWINEL, Maciej PASZYŃSKI // Computer Methods in Applied Mechanics and Engineering ; ISSN 0045-7825. — 2019 — vol. 343, s. 1–22. — Bibliogr. s. 21–22, Abstr. — Publikacja dostępna online od: 2018-09-01
Autorzy (6)
- AGHŁoś Marcin Mateusz
- AGHKłusek Adrian Marek
- Hassaan Muhammad Amber
- Pingali Keshav
- AGHDzwinel Witold
- AGHPaszyński Maciej
Słowa kluczowe
Dane bibliometryczne
ID BaDAP | 116915 |
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Data dodania do BaDAP | 2018-10-12 |
Tekst źródłowy | URL |
DOI | 10.1016/j.cma.2018.08.036 |
Rok publikacji | 2019 |
Typ publikacji | artykuł w czasopiśmie |
Otwarty dostęp | |
Czasopismo/seria | Computer Methods in Applied Mechanics and Engineering |
Abstract
We present a parallel solver for isogeometric L2 projections implemented in GALOIS system. We use the solver for isogeometric finite element method simulations of tumor growth. First, we describe the dependencies between the quantities describing the melanoma tumor growth in three-dimensions. Later, we derive the system of partial differential equations modeling the tumor dynamics, including tumor cell density, tumor angiogenic factor, flux, pressure, extracellular and degraded extracellular matrices. The continuous model is coupled every ten-time steps with graph grammar model describing the vasculature network. The resulting system of PDEs is solved with our parallel solver over the shared memory Linux cluster node. We show high computational efficiency and accuracy of our model and we demonstrate its perfect parallel scalability with the number of CPU cores. We discuss the application of our solver in predictive oncology.