Error estimates for total-variation regularized minimization problems with singular dual solutions
Abstract: Recent quasi-optimal error estimates for the finite element approximation of total-variation regularized minimization problems using the Crouzeix–Raviart element require the existence of a Lipschitz continuous dual solution, which is not generally given. We provide analytic proofs showing that the Lipschitz continuity of a dual solution is not necessary, in general. Using the Lipschitz truncation technique, we, in addition, derive error estimates that depend directly on the Sobolev regularity of a given dual solution
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Anmerkungen
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Numerische Mathematik. - 152, 4 (2022) , 881-906, ISSN: 0945-3245
- Ereignis
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Veröffentlichung
- (wo)
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Freiburg
- (wer)
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Universität
- (wann)
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2022
- Urheber
- DOI
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10.1007/s00211-022-01324-w
- URN
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urn:nbn:de:bsz:25-freidok-2309238
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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25.03.2025, 13:53 MEZ
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Beteiligte
- Bartels, Sören
- Kaltenbach, Alex
- Universität
Entstanden
- 2022
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