Noncompactness of integral operators modeling diffuse-gray radiation in polyhedral and transient settings
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1493 | |
dc.contributor.author | Druet, Pierre-Étienne | |
dc.contributor.author | Philip, Peter | |
dc.date.accessioned | 2016-03-24T17:38:36Z | |
dc.date.available | 2019-06-28T08:05:06Z | |
dc.date.issued | 2010 | |
dc.description.abstract | While it is well-known that the standard integral operator K of (stationary) diffuse-gray radiation, as it occurs in the radiosity equation, is compact if the domain of radiative interaction is sufficiently regular, we show noncompactness of the operator if the domain is polyhedral. We also show that a stationary operator is never compact when reinterpreted in a transient setting. Moreover, we provide new proofs, which do not use the compactness of K, for 1 being a simple eigenvalue of K for connected enclosures, and for I-(1-e)K being invertible, provided the emissivity e does not vanish identically | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/2749 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2270 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This 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. | eng |
dc.rights.license | Dieses 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. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Radiosity equation | eng |
dc.subject.other | Noncompact integral operator | eng |
dc.subject.other | Diffuse-gray radiation | eng |
dc.subject.other | Polyhedral domain | eng |
dc.subject.other | Transient setting | eng |
dc.title | Noncompactness of integral operators modeling diffuse-gray radiation in polyhedral and transient settings | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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