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The aggregated unfitted finite element method for elliptic problems

Autor
Badia, S.; Verdugo, F.; Martín, A. F.
Tipus d'activitat
Article en revista
Revista
Computer methods in applied mechanics and engineering
Data de publicació
2018-07
Volum
336
Pàgina inicial
533
Pàgina final
553
DOI
https://doi.org/10.1016/j.cma.2018.03.022 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/117597 Obrir en finestra nova
https://arxiv.org/abs/1709.09122 Obrir en finestra nova
URL
https://www.sciencedirect.com/science/article/pii/S0045782518301476 Obrir en finestra nova
Resum
Unfitted finite element techniques are valuable tools in different applications where the generation of body-fitted meshes is difficult. However, these techniques are prone to severe ill conditioning problems that obstruct the efficient use of iterative Krylov methods and, in consequence, hindersthe practical usage of unfitted methods for realistic large scale applications. In this work, we present a technique that addresses such conditioning problems by constructing enhanced finite element spac...
Citació
Badia, S., Verdugo, F., Martín, A. F. The aggregated unfitted finite element method for elliptic problems. "Computer methods in applied mechanics and engineering", Juliol 2018, vol. 336, p. 533-553.
Paraules clau
Embedded boundary methods, Ill-conditioning, Unfitted finite elements
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica