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Space-time Methods for Time-dependent Partial Differential Equations

dc.date.accessioned2019-10-24T15:29:04Z
dc.date.available2019-10-24T15:29:04Z
dc.date.issued2017
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3579
dc.description.abstractModern discretizations of time-dependent PDEs consider the full problem in the space-time cylinder and aim to overcome limitations of classical approaches such as the method of lines (first discretize in space and then solve the resulting ODE) and the Rothe method (first discretize in time and then solve the PDE). A main advantage of a holistic space-time method is the direct access to space-time adaptivity and to the backward problem (required for the dual problem in optimization or error control). Moreover, this allows for parallel solution strategies simultaneously in time and space. Several space-time concepts where proposed (different conforming and nonconforming space-time finite elements, the parareal method, wavefront relaxation etc.) but this topic has become a rapidly growing field in numerical analysis and scientific computing. In this workshop the focus is the development of adaptive and flexible space-time discretization methods for solving parabolic and hyperbolic space-time partial differential equations.
dc.titleSpace-time Methods for Time-dependent Partial Differential Equations
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWR-2017-15
local.series.idOWR-2017-15
local.subject.msc65
local.sortindex1019
local.date-range12 Mar - 18 Mar 2017
local.workshopcode1711
local.workshoptitleSpace-time Methods for Time-dependent Partial Differential Equations
local.organizersRicardo Nochetto, College Park; Stefan Sauter, Zürich; Christian Wieners, Karlsruhe
local.report-nameWorkshop Report 2017,15
local.opc-photo-id1711
local.publishers-doi10.4171/OWR/2017/15
local.ems-referenceNochetto Ricardo, Sauter Stefan, Wieners Christian: Space-time Methods for Time-dependent Partial Differential Equations. Oberwolfach Rep. 14 (2017), 863-947. doi: 10.4171/OWR/2017/15


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