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arXiv · 1905.13490

Preconditioning Inverse Problems for Hyperbolic Equations with Applications to Photoacoustic Tomography

Abstract

This paper is concerned with robust preconditioning of wave equations constrained linear inverse problems from boundary observation data. The main result of this paper is a concept for regularization parameter robust preconditioning. Analogous concepts have been developed for control problems based on elliptic partial equations before.

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Alexander Beigl, Otmar Scherzer, Jarle Sogn, Walter Zulehner. 2019-05-31. Preconditioning Inverse Problems for Hyperbolic Equations with Applications to Photoacoustic Tomography. https://doi.org/10.1088/1361-6420%2Fab3d08

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