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2011-09-27Buch DOI: 10.18452/2834
Operator-Splitting Methods Respecting Eigenvalue Problems For Shallow Shelf Equations With Basal Drag
dc.contributor.authorGeiser, Jürgen
dc.contributor.authorCalov, Reinhard
dc.contributor.authorRecknagel, Thomas
dc.date.accessioned2017-06-15T18:27:16Z
dc.date.available2017-06-15T18:27:16Z
dc.date.created2011-09-27
dc.date.issued2011-09-27
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3486
dc.description.abstractWe discuss different numerical methods for solving the shallow shelf equations with basal drag. The coupled equations are decomposed into operators for membranes stresses, basal shear stress and driving stress. Applying reasonable parameter values, we demonstrate that the operator of the membrane stresses is much stiffer than operator of the basal shear stress. Therefore, we propose a new splitting method, which alternates between the iteration on the membrane-stress operator and the basal-shear operator, with a stronger iteration on the operator of the membrane stress. We show that this splitting improves the computational performance of the numerical method, although the choice of the (standard) method to solve for all operators in one step speeds up the scheme too. (Based on the delicate and coupled equation we propose a new decomposition method to decouple into simpler solvable sub-equations. After a number of approximations we consider the error of the method and proposed a choice of the operators.)eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectpartial differential equationseng
dc.subjectiterative methodseng
dc.subjectoperator-splitting methodseng
dc.subjecteigenvalue approacheng
dc.subject.ddc510 Mathematik
dc.titleOperator-Splitting Methods Respecting Eigenvalue Problems For Shallow Shelf Equations With Basal Drag
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-100193501
dc.identifier.doihttp://dx.doi.org/10.18452/2834
local.edoc.pages31
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-year2010
dc.identifier.zdb2075199-0
bua.series.namePreprints aus dem Institut für Mathematik
bua.series.issuenumber2010,17

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