Title:
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Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity
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Author:
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Badia, Santiago; Codina, Ramon; Gudi, Thirupathi; Guzmán, Johnny
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria; Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus |
Abstract:
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In this article, we analyze several discontinuous Galerkin methods (DG) for the
Stokes problem under the minimal regularity on the solution. We assume that the velocity
u belongs to [H1 0 ()]d and the pressure p 2 L2 0 (). First, we analyze standard DG methods assuming that the right hand side f belongs to [H¡1() \ L1()]d. A DG method that is well de¯ned for f belonging to [H¡1()]d is then investigated. The methods under study
include stabilized DG methods using equal order spaces and inf-sup stable ones where the pressure space is one polynomial degree less than the velocity space. |
Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits -Galerkin methods -Navier-Stokes equations -Equacions de Navier-Stokes -Metode Galerkin discontinu |
Rights:
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Document type:
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Article - Draft Report |
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