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2007-01-01Zeitschriftenartikel DOI: 10.1016/j.apnum.2005.12.002
Error estimates for finite volume element methodsfor convection–diffusion–reaction equations
dc.contributor.authorSinha, Rajen K.
dc.contributor.authorGeiser, Jürgen
dc.date.accessioned2017-06-17T01:07:13Z
dc.date.available2017-06-17T01:07:13Z
dc.date.created2009-07-06
dc.date.issued2007-01-01
dc.identifier.issn0168-9274
dc.identifier.urihttp://edoc.hu-berlin.de/18452/10100
dc.description.abstractIn this paper, we study finite volume element (FVE) method for convection–diffusion–reaction equations in a two-dimensional convex polygonal domain. These types of equations arise in the modeling of a waste scenario of a radioactive contaminant transport and reaction in flowing groundwater. Both spatially discrete scheme and discrete-in-time scheme are analyzed in this paper. For the spatially discrete scheme, optimal order error estimates in L2 and H1 norms are obtained for the homogeneous equation using energy method. Further, a quasi-optimal order error estimate in L∞ norm is shown to hold in an interior subdomain away from the corners. Based on backward Euler method, a time discretization scheme is discussed and related error estimates are derived.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectConvection–diffusion–reaction equationeng
dc.subjectFinite volume element methodeng
dc.subjectSpatially discrete schemeeng
dc.subjectDiscrete-in-time schemeeng
dc.subjectError estimateseng
dc.subject.ddc510 Mathematik
dc.titleError estimates for finite volume element methodsfor convection–diffusion–reaction equations
dc.typearticle
dc.identifier.urnurn:nbn:de:kobv:11-10099085
dc.identifier.doi10.1016/j.apnum.2005.12.002
dc.identifier.doihttp://dx.doi.org/10.18452/9448
local.edoc.container-titleApplied Numerical Mathematics
local.edoc.type-nameZeitschriftenartikel
local.edoc.institutionMathematisch-Naturwissenschaftliche Fakultät II
local.edoc.container-typeperiodical
local.edoc.container-type-nameZeitschrift
local.edoc.container-urlhttp://www.sciencedirect.com/
local.edoc.container-volumeVolume 57
local.edoc.container-issueIssue 1
local.edoc.container-year2007
local.edoc.container-firstpage59
local.edoc.container-lastpage72
dc.description.versionPeer Reviewed

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