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Computational Inverse Problems for Partial Differential Equations (hybrid meeting)

dc.date.accessioned2021-01-28T10:05:04Z
dc.date.available2021-01-28T10:05:04Z
dc.date.issued2020
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3829
dc.description.abstractInverse problems in partial differential equations (PDEs) consist in reconstructing some part of a PDE such as a coefficient, a boundary condition, an initial condition, the shape of a domain, or a singularity from partial knowledge of solutions to the PDE. This has numerous applications in nondestructive testing, medical imaging, seismology, and optical imaging. Whereas classically mostly boundary or far field data of solutions to deterministic PDEs were considered, more recently also statistical properties of solutions to random PDEs have been studied. The study of numerical reconstruction methods of inverse problems in PDEs is at the interface of numerical analysis, PDE theory, functional analysis, statistics, optimization, and differential geometry. This workshop has mainly addressed five related topics of current interest: model reduction, control-based techniques in inverse problems, imaging with correlation data of waves, fractional diffusion, and model-based approaches using machine learning.
dc.titleComputational Inverse Problems for Partial Differential Equations (hybrid meeting)
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-2020-39
local.series.idOWR-2020-39
local.subject.msc35
local.subject.msc45
local.subject.msc47
local.subject.msc49
local.subject.msc65
local.subject.msc78
local.subject.msc80
local.subject.msc86
local.date-range06 Dec - 12 Dec 2020
local.workshopcode2050
local.workshoptitleComputational Inverse Problems for Partial Differential Equations (hybrid meeting)
local.organizersLiliana Borcea, Ann Arbor; Thorsten Hohage, Göttingen; Barbara Kaltenbacher, Klagenfurt
local.report-nameWorkshop Report 2020,39
local.opc-photo-id2050
local.publishers-doi10.4171/OWR/2020/39
local.ems-referenceBorcea Liliana, Hohage Thorsten, Kaltenbacher Barbara: Computational Inverse Problems for Partial Differential Equations. Oberwolfach Rep. 17 (2020), 1903-1954. doi: 10.4171/OWR/2020/39


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