An adaptive quadrature-based factorization method for inverse acoustic scattering problems
| Autor: | Jun Liu, Koung Hee Leem, George Pelekanos |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Speedup
Adaptive algorithm Computer science Applied Mathematics General Engineering Nonuniform sampling Boundary (topology) Inverse 010103 numerical & computational mathematics 01 natural sciences Computer Science Applications 010101 applied mathematics Indicator function Nyström method 0101 mathematics Adaptive quadrature Algorithm |
| Zdroj: | Inverse Problems in Science and Engineering. 27:299-316 |
| ISSN: | 1741-5985 1741-5977 |
| DOI: | 10.1080/17415977.2018.1459600 |
| Popis: | We propose a novel adaptive algorithm, which generates nonuniform sampling points that automatically concentrate near the boundary of an unknown scatterer, to dramatically speed up Kirsch’s factorization method for inverse acoustic scattering problems. Built upon the widely used adaptive Simpson quadrature method, our proposed adaptive algorithm approximates the integral of an indicator function over the search domain and yields reliable and accurate reconstructions significantly faster than the standard factorization method. Numerical experiments are performed to validate the effectiveness of our proposed algorithm and make comparisons with the established multilevel linear sampling method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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