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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/22553

Title: Analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in porous media with dynamic capillarity effects
Authors: Karpinski, Stefan
Pop, Sorin
Issue Date: 2017
Citation: NUMERISCHE MATHEMATIK, 136(1), p. 249-286
Status: Early View
Abstract: We present an interior penalty discontinuous Galerkin scheme for a two-phase porous media flow model that incorporates dynamic effects in the capillary pressure. The approximation of the mass-conservation laws is performed in their original formulation, without introducing a global pressure. We prove the existence of a solution to the emerging fully discrete systems and the convergence of the scheme. Error-estimates are obtained for sufficiently smooth data.
URI: http://hdl.handle.net/1942/22553
DOI: 10.1007/s00211-016-0839-5
ISI #: 000399173300008
ISSN: 0029-599X
Category: A1
Type: Journal Contribution
Appears in Collections: Research publications

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