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Identification of discontinuous coefficients in elliptic problems using total variation regularization

หน่วยงาน Nanyang Technological University, Singapore

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ชื่อเรื่อง : Identification of discontinuous coefficients in elliptic problems using total variation regularization
นักวิจัย : Chan, Tony F. , Tai, Xue Cheng
คำค้น : DRNTU::Science::Mathematics::Analysis.
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2546
อ้างอิง : Chan, T. F., & Tai, X. C. (2003). Identification of discontinuous coefficients in elliptic problems using total variation regularization. SIAM Journal on Scientific Computing, 25(3), 881–904. , 1095-7197 , 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 , http://dx.doi.org/10.1137/S1064827599326020
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : SIAM journal on scientific computing
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

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 solving the output-least-squares inverse problem. In addition to the basic output-least-squares formulation, we introduce two new techniques for handling large observation errors. First, we use a filtering step to remove as much of the observation error as possible. Second, we introduce two extensions of the output-least-squares model; one model employs observations of the gradient of the state variable while the other uses the flux. Numerical experiments indicate that the combination of these two techniques enables us to successfully recover discontinuous coefficients even under large observation errors.

บรรณานุกรม :
Chan, Tony F. , Tai, Xue Cheng . (2546). Identification of discontinuous coefficients in elliptic problems using total variation regularization.
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Chan, Tony F. , Tai, Xue Cheng . 2546. "Identification of discontinuous coefficients in elliptic problems using total variation regularization".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Chan, Tony F. , Tai, Xue Cheng . "Identification of discontinuous coefficients in elliptic problems using total variation regularization."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2546. Print.
Chan, Tony F. , Tai, Xue Cheng . Identification of discontinuous coefficients in elliptic problems using total variation regularization. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2546.