A stable discontinuous galerkin based isogeometric residual minimization for the stokes problem

Marcin Łoś, Sergio Rojas, Maciej Paszyński, IGNACIO PATRICIO PEDRO MUGA URQUIZA, Victor M. Calo

Resultado de la investigación: Capítulo del libro/informe/acta de congresoContribución a la conferenciarevisión exhaustiva

6 Citas (Scopus)

Resumen

We investigate a residual minimization (RM) based stabilized isogeometric finite element method (IGA) for the Stokes problem. Starting from an inf-sup stable discontinuous Galerkin (DG) formulation, the method seeks for an approximation in a highly continuous trial space that minimizes the residual measured in a dual norm of the discontinuous test space. We consider two-dimensional Stokes problems with manufactured solutions and the cavity flow problem. We explore the results obtained by considering highly continuous isogeometric trial spaces, and discontinuous test spaces. We compare by the Pareto front the resulting numerical accuracy and the computational cost, expressed by the number of floating-point operations performed by the direct solver algorithm.

Idioma originalInglés
Título de la publicación alojadaComputational Science – ICCS 2020 - 20th International Conference, Proceedings
EditoresValeria V. Krzhizhanovskaya, Gábor Závodszky, Michael H. Lees, Peter M.A. Sloot, Peter M.A. Sloot, Peter M.A. Sloot, Jack J. Dongarra, Sérgio Brissos, João Teixeira
EditorialSpringer
Páginas197-211
Número de páginas15
ISBN (versión impresa)9783030504168
DOI
EstadoPublicada - 2020
Publicado de forma externa
Evento20th International Conference on Computational Science, ICCS 2020 - Amsterdam, Países Bajos
Duración: 3 jun. 20205 jun. 2020

Serie de la publicación

NombreLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volumen12138 LNCS
ISSN (versión impresa)0302-9743
ISSN (versión digital)1611-3349

Conferencia

Conferencia20th International Conference on Computational Science, ICCS 2020
País/TerritorioPaíses Bajos
CiudadAmsterdam
Período3/06/205/06/20

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