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dc.contributor.authorLi, Jizhou
Riviere, Beatrice
Walkington, Noel
dc.date.accessioned 2016-02-02T19:17:44Z
dc.date.available 2016-02-02T19:17:44Z
dc.date.issued 2015
dc.identifier.citation Li, Jizhou, Riviere, Beatrice and Walkington, Noel. "Convergence of a high order method in time and space for the miscible displacement equations." ESAIM: M2AN, 49, no. 4 (2015) EDP Sciences, SMAI: 953-976. http://dx.doi.org/10.1051/m2an/2014059.
dc.identifier.urihttps://hdl.handle.net/1911/88306
dc.description.abstract A numerical method is formulated and analyzed for solving the miscible displacement problem under low regularity assumptions. The scheme employs discontinuous Galerkin time stepping with mixed and interior penalty discontinuous Galerkin finite elements in space. The numerical approximations of the pressure, velocity, and concentration converge to the weak solution as the mesh size and time step tend to zero. To pass to the limit a compactness theorem is developed which generalizes the Aubin-Lions theorem to accommodate discontinuous functions both in space and in time.
dc.language.iso eng
dc.publisher EDP Sciences, SMAI
dc.rights Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.title Convergence of a high order method in time and space for the miscible displacement equations
dc.type Journal article
dc.contributor.funder National Science Foundation
dc.citation.journalTitle ESAIM: M2AN
dc.subject.keywordGeneralized Aubin-Lions
discontinuous Galerkin
mixed finite element
arbitrary order
weak solution
convergence
dc.citation.volumeNumber 49
dc.citation.issueNumber 4
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1051/m2an/2014059
dc.identifier.grantID DMS 1318348 (National Science Foundation)
dc.type.publication publisher version
dc.citation.firstpage 953
dc.citation.lastpage 976


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