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Título:
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Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity
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Autor/a:
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Badia, Santiago; Codina, Ramon; Gudi, Thirupathi; Guzmán, Johnny
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Otros autores:
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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 |
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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. |
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Materia(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 |
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Derechos:
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Tipo de documento:
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Artículo - Borrador
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