A-optimal encoding weights for nonlinear inverse problems, with application to the Helmholtz inverse problem

DOI10.1088/1361-6420/aa6d8ezbMath1370.65064arXiv1612.02358OpenAlexW2560550287MaRDI QIDQ5348010

Alen Alexanderian, Georg Stadler, Benjamin Crestel, Omar Ghattas

Publication date: 11 August 2017

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.02358

zbMATH Keywords

numerical exampleHelmholtz equationprobabilistic methodrandomized trace estimatorsource encodingA-optimal experimental designBayesian nonlinear inverse problem

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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