dc.contributor.author
Barrenechea, Gabriel R.
dc.contributor.author
John, Volker
dc.contributor.author
Knobloch, Petr
dc.date.accessioned
2018-06-08T07:16:59Z
dc.date.available
2015-09-17T11:43:58.221Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/17574
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-21458
dc.description.abstract
An extension of the local projection stabilization (LPS) finite element method
for convection-diffusion-reaction equations is presented and analyzed, both in
the steady-state and the transient setting. In addition to the standard LPS
method, a nonlinear crosswind diffusion term is introduced that accounts for
the reduction of spurious oscillations. The existence of a solution can be
proved and, depending on the choice of the stabilization parameter, also its
uniqueness. Error estimates are derived which are supported by numerical
studies. These studies demonstrate also the reduction of the spurious
oscillations.
en
dc.rights.uri
http://journals.cambridge.org/action/terms?sessionId=A68A740C5015680C946CAE4C21CA96E2.journals
dc.subject
Finite element method
dc.subject
local projection stabilization
dc.subject
crosswind diffusion
dc.subject
convection-diffusion-reaction equation
dc.subject
well posedness
dc.subject
time dependent problem
dc.subject
error estimates
dc.title
A local projection stabilization finite element method with nonlinear
crosswind diffusion for convection-diffusion-reaction equations
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation
Mathematical Modelling and Numerical Analysis. - 47 (2013), 5, S. 1335-1366
dcterms.bibliographicCitation.doi
10.1051/m2an/2013071
dcterms.bibliographicCitation.url
http://dx.doi.org/10.1051/m2an/2013071
refubium.affiliation
Mathematik und Informatik
de
refubium.mycore.fudocsId
FUDOCS_document_000000023123
refubium.resourceType.isindependentpub
no
refubium.mycore.derivateId
FUDOCS_derivate_000000005408
dcterms.accessRights.openaire
open access
