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Coefficient identification for an inhomogeneous Helmholtz equation by asymptotic regularization
| Content Provider | Scilit |
|---|---|
| Author | Ang, D. D. Vy, L. K. |
| Copyright Year | 1992 |
| Description | Journal: Inverse Problems The authors are concerned with a regularization method for the problem of recovering the index of refraction n in the inhomogeneous reduced wave equation ( Delta $+k^{2}n^{2}$(x))u(x)=F(x) x in Omega where Omega is a domain in $R^{3}$ and k>0 is given. Assuming a known solution u of the above equation, they consider a fixed finite dimensional variational inequality that is supposed to approximate the original problem. Then, by an asymptotic regularization method, they construct by iteration a sequence of stable, finite dimensional variational inequalities, solutions of which are shown to converge to a solution of the above finite dimensional variational inequality. |
| Related Links | http://iopscience.iop.org/article/10.1088/0266-5611/8/4/005/pdf |
| Ending Page | 523 |
| Page Count | 15 |
| Starting Page | 509 |
| ISSN | 02665611 |
| e-ISSN | 13616420 |
| DOI | 10.1088/0266-5611/8/4/005 |
| Journal | Inverse Problems |
| Issue Number | 4 |
| Volume Number | 8 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1992-08-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Inverse Problems Index of Refraction Wave Equation Variational Inequality Helmholtz Equation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications |
