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.
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© 2008 Springer-Verlag Berlin Heidelberg
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Barrios, T.P., Bustinza, R. (2008). An Augmented DG Scheme for Porous Media Equations. In: Kunisch, K., Of, G., Steinbach, O. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69777-0_37
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DOI: https://doi.org/10.1007/978-3-540-69777-0_37
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69776-3
Online ISBN: 978-3-540-69777-0
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