Iterative regularization for elliptic inverse problems

Authors:
A. A. Khan;B. D. Rouhani
Affiliations:
Department of Mathematics, University of Wisconsin-Barron County, 1800 College Drive, Rice Lake, WI 54868, United States;Department of Mathematical Sciences, University of Texas at El Paso, El Paso, TX 79968, United States
Venue:
Computers & Mathematics with Applications
Year:
2007

Citing 7
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Abstract

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.