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Nonlinear integral equations and the iterative solution for an inverse boundary value problem
| Content Provider | Scilit |
|---|---|
| Author | Kress, Rainer Rundell, William |
| Copyright Year | 2005 |
| Description | Journal: Inverse Problems Determining the shape of a perfectly conducting inclusion within a conducting medium from voltage and current measurements on the accessible boundary of the medium can be modelled as an inverse boundary value problem for harmonic functions. We present a novel solution method for such inverse boundary value problems via a pair of nonlinear and ill-posed integral equations for the unknown boundary that can be solved by linearization, i.e., by regularized Newton iterations. We present a mathematical foundation of the method and illustrate its feasibility by numerical examples. |
| Related Links | http://iopscience.iop.org/article/10.1088/0266-5611/21/4/002/pdf |
| Ending Page | 1223 |
| Page Count | 17 |
| Starting Page | 1207 |
| ISSN | 02665611 |
| e-ISSN | 13616420 |
| DOI | 10.1088/0266-5611/21/4/002 |
| Journal | Inverse Problems |
| Issue Number | 4 |
| Volume Number | 21 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2005-05-17 |
| Access Restriction | Open |
| Subject Keyword | Journal: Inverse Problems Integral Equation Harmonic Function Newton Iteration |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications |
