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Iterative Methods for Solving Multi-coefficient Inverse Problems of Nondestructive Testing in Vector Elastic Modelsстатья
- Авторы: Goncharsky Alexander, Romanov Sergey, Seryozhnikov Sergey
- Сборник: Supercomputing. 11th Russian Supercomputing Days, RuSCDays 2025, Moscow, Russia, September 29–30, 2025. Revised Selected Papers
- Серия: Lecture Notes in Computer Science
- Том: 16196
- Год издания: 2025
- Место издания: Springer Science+Business Media Luxembourg
- Первая страница: 145
- Последняя страница: 158
- DOI: 10.1007/978-3-032-13127-0_11
- Аннотация: The paper is concerned with developing the methods for solvinginverse problems of ultrasound tomography in vector elastic models.In the general case, the objective is to reconstruct two Lame parametersand density of the object as functions of spatial coordinates by measuringscattered ultrasound waves. To construct iterative solution methods,a representation for the gradient of the residual functional between thecomputed and measured wave fields at the detectors with respect to thesought-for parameters was used. Precise reconstruction of three independentparameters without additional information seems unlikely even ina full-view tomographic scheme. The main result of the work demonstratesthe possibility of reconstructing spatially dependent velocities oflongitudinal and transverse waves with high accuracy. These physicalparameters are important in interpreting tomographic imaging data usingultrasound sources. A GPU platform of the supercomputer was usedto reconstruct tomographic images. Comparing to scalar wave models,vector models require approximately four times more computing power.
- Добавил в систему: Романов Сергей Юрьевич