Numerical Solution of a Three-Dimensional Coefficient Inverse Problem for the Wave Equation with Integral Data in a Cylindrical Domain
| Autor: | Anatoly B. Bakushinsky, Alexander S. Leonov |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Imagination Numerical Analysis Field (physics) Efficient algorithm Numerical analysis media_common.quotation_subject Mathematical analysis Fast Fourier transform 010103 numerical & computational mathematics Inverse problem Wave equation 01 natural sciences Domain (mathematical analysis) 010101 applied mathematics 0101 mathematics media_common |
| Zdroj: | Numerical Analysis and Applications. 12:311-325 |
| ISSN: | 1995-4247 1995-4239 |
| DOI: | 10.1134/s1995423919040013 |
| Popis: | A three-dimensional coefficient inverse problem for the wave equation (with losses) in a cylindrical domain is considered. The data given for its solution are special time integrals of a wave field measured in a cylindrical layer. We present and substantiate an efficient algorithm for solving this three-dimensional problem based on the fast Fourier transform. The algorithm makes it possible to obtain a solution on 512× 512×512 grids in about 1.4 hours on a typical PC without paralleling the calculations. The results of numerical experiments of model inverse problem solving are presented. |
| Databáze: | OpenAIRE |
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