2007-01-01Zeitschriftenartikel DOI: 10.1016/j.apnum.2005.12.002
Error estimates for finite volume element methodsfor convection–diffusion–reaction equations
 dc.contributor.author Sinha, Rajen K. dc.contributor.author Geiser, Jürgen dc.date.accessioned 2017-06-17T01:07:13Z dc.date.available 2017-06-17T01:07:13Z dc.date.created 2009-07-06 dc.date.issued 2007-01-01 dc.identifier.issn 0168-9274 dc.identifier.uri http://edoc.hu-berlin.de/18452/10100 dc.description.abstract In 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.iso eng dc.publisher Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II dc.rights.uri http://rightsstatements.org/vocab/InC/1.0/ dc.subject Convection–diffusion–reaction equation eng dc.subject Finite volume element method eng dc.subject Spatially discrete scheme eng dc.subject Discrete-in-time scheme eng dc.subject Error estimates eng dc.subject.ddc 510 Mathematik dc.title Error estimates for finite volume element methodsfor convection–diffusion–reaction equations dc.type article dc.identifier.urn urn:nbn:de:kobv:11-10099085 dc.identifier.doi 10.1016/j.apnum.2005.12.002 dc.identifier.doi http://dx.doi.org/10.18452/9448 local.edoc.container-title Applied Numerical Mathematics local.edoc.type-name Zeitschriftenartikel local.edoc.institution Mathematisch-Naturwissenschaftliche Fakultät II local.edoc.container-type periodical local.edoc.container-type-name Zeitschrift local.edoc.container-url http://www.sciencedirect.com/ local.edoc.container-volume Volume 57 local.edoc.container-issue Issue 1 local.edoc.container-year 2007 local.edoc.container-firstpage 59 local.edoc.container-lastpage 72 dc.description.version Peer Reviewed