An Augmented DG Scheme for Porous Media Equations

T. P. Barrios () and R. Bustinza ()
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T. P. Barrios: Universidad Católica de la Santísima Concepción, Departamento de Matemática y Física Aplicadas
R. Bustinza: Universidad de Concepción, Departamento de Ingeniería Matemática

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 315-322 from Springer

Abstract: Abstract We present an augmented local discontinuous Galerkin scheme for Darcy flow, that is obtained adding suitable Galerkin least squares terms arising from constitutive and equilibrium equations. The well-posedness of the scheme is proved applying Lax Milgram’s theorem. Finally, we present an a posteriori error estimator, and include one numerical experiment showing that the estimator is reliable and efficient.

Keywords: Posteriori Error; Discontinuous Galerkin; Effectivity Index; Implementation Purpose; Discontinuous Galerkin Method (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_37

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DOI: 10.1007/978-3-540-69777-0_37

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