Iterative regularization for elliptic inverse problems

✍ Scribed by A.A. Khan; B.D. Rouhani

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 594 KB
• Volume: 54
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2007.02.011

✦ Synopsis

Elliptic inverse problems can be formulated using coefficient-dependent energy least-squares functionals, resulting in a smooth, convex objective functional. A variational inequality emerges as a necessary and sufficient optimality condition. The principle of iterative regularization, when coupled with the auxiliary problem principle, results in a strongly convergent scheme for the solution of elliptic inverse problems.