Aposteriori estimates in inverse problems for the Helmholtz equation
2017 (English)In: 2017 Progress In Electromagnetics Research Symposium - Fall (PIERS - FALL), Electromagnetics Academy , 2017, p. 3526-3531Conference paper, Published paper (Refereed)
Abstract [en]
We consider the problem of estimation of the right-hand sides of the Helmholtz equation that models electromagnetic and acoustic wave fields when that initial data is uncertain. In the case when measurement errors depend on solutions, we construct algorithms of computation of the optimal estimates which are compatible with the measurement data. It is shown that approximate a posteriori estimates of the right-hand sides are expressed via solutions of linear algebraic equations.
Place, publisher, year, edition, pages
Electromagnetics Academy , 2017. p. 3526-3531
Series
Progress in Electromagnetics Research Symposium, ISSN 1559-9450
Keywords [en]
Acoustic fields, Helmholtz equation, Linear algebra, Linear equations, Acoustic wave fields, Linear algebraic equation, Measurement data, Optimal estimates, Posteriori estimates, Right-hand sides, Inverse problems
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-26730DOI: 10.1109/PIERS.2017.8262370ISI: 000427596703103Scopus ID: 2-s2.0-85044942147ISBN: 9781509062690 (electronic)ISBN: 978-1-5090-6270-6 (print)OAI: oai:DiVA.org:hig-26730DiVA, id: diva2:1213021
Conference
2017 Progress In Electromagnetics Research Symposium - Spring, PIERS 2017, 22-25 May 2017, St. Petersburg, Russian Federation
Projects
Project Largescale
Funder
Swedish Institute2018-06-042018-06-042018-06-04Bibliographically approved