Equivalent formulations and numerical schemes for a class of pseudo-parabolic equations

Y. Fan, I.S. Pop

Research output: Contribution to journalArticleAcademicpeer-review

12 Citations (Scopus)

Abstract

This paper investigates three different formulations for a class of pseudo-parabolic equations. Such equations are encountered, for example, as a model for two phase porous media flows, when dynamic effects in the capillary pressure are included. We first show the equivalence of the three different formulations for the original equation. Based on this, we further investigate the corresponding discretization in time and give some numerical examples.
Original languageEnglish
Pages (from-to)86-93
JournalJournal of Computational and Applied Mathematics
Volume246
DOIs
Publication statusPublished - 2013

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Pseudoparabolic Equations
Capillarity
Numerical Scheme
Porous materials
Porous Media Flow
Formulation
Two-phase Flow
Discretization
Equivalence
Numerical Examples
Class
Model

Cite this

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title = "Equivalent formulations and numerical schemes for a class of pseudo-parabolic equations",
abstract = "This paper investigates three different formulations for a class of pseudo-parabolic equations. Such equations are encountered, for example, as a model for two phase porous media flows, when dynamic effects in the capillary pressure are included. We first show the equivalence of the three different formulations for the original equation. Based on this, we further investigate the corresponding discretization in time and give some numerical examples.",
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Equivalent formulations and numerical schemes for a class of pseudo-parabolic equations. / Fan, Y.; Pop, I.S.

In: Journal of Computational and Applied Mathematics, Vol. 246, 2013, p. 86-93.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Fan, Y.

AU - Pop, I.S.

PY - 2013

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AB - This paper investigates three different formulations for a class of pseudo-parabolic equations. Such equations are encountered, for example, as a model for two phase porous media flows, when dynamic effects in the capillary pressure are included. We first show the equivalence of the three different formulations for the original equation. Based on this, we further investigate the corresponding discretization in time and give some numerical examples.

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DO - 10.1016/j.cam.2012.07.031

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JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

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