Identification of discontinuous coefficients in elliptic problems using total variation regularization

Identification of discontinuous coefficients in elliptic problems using total variation regularization

We propose several formulations for recovering discontinuous coefficients in elliptic problems by using total variation (TV) regularization. The motivation for using TV is its well-established ability to recover sharp discontinuities. We employ an augmented Lagrangian variational formulation for sol...

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Bibliographic Details
Main Authors: Chan, Tony F., Tai, Xue Cheng
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2009
Subjects:
DRNTU::Science::Mathematics::Analysis
Online Access:https://hdl.handle.net/10356/102806
http://hdl.handle.net/10220/4605
http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:ISI_WOS_XML&id=doi:&genre=&isbn=&issn=1064-8275&date=2003&volume=25&issue=3&spage=881&epage=904&aulast=Chan&aufirst=%20TF&auinit=TF&title=SIAM%20JOURNAL%20ON%20SCIENTIFIC%20COMPUTING&atitle=Identification%20of%20discontinuous%20coefficients%20in%20elliptic%20problems%20using%20total%20variation%20regularization
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Institution: Nanyang Technological University
Language: English

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https://hdl.handle.net/10356/102806
http://hdl.handle.net/10220/4605
http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:ISI_WOS_XML&id=doi:&genre=&isbn=&issn=1064-8275&date=2003&volume=25&issue=3&spage=881&epage=904&aulast=Chan&aufirst=%20TF&auinit=TF&title=SIAM%20JOURNAL%20ON%20SCIENTIFIC%20COMPUTING&atitle=Identification%20of%20discontinuous%20coefficients%20in%20elliptic%20problems%20using%20total%20variation%20regularization

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