Two Iterative Boundary Element Methods For
Inverse Cauchy Problems
Author(s)
F. Delvare, A. Cimetiere & F. Pons
Abstract
The paper deals with the recovering of lacking data on some part of a domain
boundary, from the knowledge of overprescribed data on some other part of the
boundary. We introduce two iterative algorithms. Each algorithm reads as a least
square fitting of the given data, with a regularization term that fades as iterations
go on. Displayed numerical results compare the two algorithms and highlight
their accuracy, as well as their robustness.
1 Introduction
Given a physical model, an inverse problem consists in determining
unmeasurable quantities from measurable quantities. Inverse problems are
usually ill-posed in Hadamard's sense because they are very sensitive to errors on
measured data. They occur in many scientific fields (Bui [1]).
Inverse problems can b
Keywords
Related Book
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