A penalty-free approach to PDE constrained optimization: application to an inverse wave problem
نویسندگان
چکیده
Abstract Inverse wave problems (IWPs) amount in non-linear optimization where a certain distance between state variable and some observations of wavefield is to be minimized. Additionally, we require the solution model equation that involves set parameters optimized. Typical approaches solve IWPs includes adjoint method , which generates sequence strictly enforces at each iteration, and, reconstruction inversion (WRI) method, jointly but does not enforce model. WRI considered an interesting approach because, by virtue enforcing it expands search space, can thus find solutions may found typical method. However, techniques generally requires tuning penalty parameter until satisfied. Alternatively, fixed chosen but, such case, impossible for algorithm satisfies exactly. In present work, a, our knowledge, novel technique type variable, loosely The based on TR-SQP aims minimizing, both residual relative linearized quadratic approximation cost functional. Our approximately solves subproblems using Krylov Hessian-vector product computed second-order . demonstrated synthetic with configuration relevant medical imaging.
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 2021
ISSN: ['0266-5611', '1361-6420']
DOI: https://doi.org/10.1088/1361-6420/abe4a9