Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/102806
Title: Identification of discontinuous coefficients in elliptic problems using total variation regularization
Authors: Chan, Tony F.
Tai, Xue Cheng
Keywords: DRNTU::Science::Mathematics::Analysis
Issue Date: 2003
Source: 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.
Series/Report no.: SIAM journal on scientific computing
Abstract: 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.
URI: https://hdl.handle.net/10356/102806
http://hdl.handle.net/10220/4605
ISSN: 1095-7197
DOI: 10.1137/S1064827599326020
Rights: SIAM Journal on Scientific Computing @ 2003 Society for Industrial and Applied Mathematics (SIAM). The journal's website is located at http://siamdl.aip.org/vsearch/servlet/VerityServlet?KEY=SIAMDL&smode=results&sort=rel&maxdisp=25&threshold=0&pjournals=SIAMDL%2CMMSUBT%2CSJADAY%2CSMJMAP%2CSMJCAT%2CSJCODC%2CSJDMEC%2CSJISBI%2CSJMAAH%2CSJMAEL%2CSJNAAM%2CSJOPE8%2CSJOCE3%2CSIREAD%2CTPRBAU&possible1=Identification+of+discontinuous&possible1zone=article&OUTLOG=NO&viewabs=SJOCE3&key=DISPLAY&docID=1&page=0&chapter=0.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

Files in This Item:
File Description SizeFormat 
Chan-Tai-IDC-03-sisc.pdfPublished version2.06 MBAdobe PDFThumbnail
View/Open

SCOPUSTM   
Citations

81
Updated on Sep 6, 2020

PublonsTM
Citations

82
Updated on Jan 25, 2021

Page view(s) 5

768
Updated on Jan 26, 2021

Download(s) 5

652
Updated on Jan 26, 2021

Google ScholarTM

Check

Altmetric


Plumx

Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.