Guaranteed a posteriori estimation of uncertain data in exterior Neumann problems for Helmholtz equation from inexact indirect observations of their solutions
| Autor: | Oleksandr Nakonechnyi, Yuri Podlipenko, Yury Shestopalov |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Statement (computer science)
Estimation Matematik Uncertain data Helmholtz equation Applied Mathematics General Engineering 010103 numerical & computational mathematics 01 natural sciences Guaranteed a posteriori estimate observations uncertain data solution to the Neumann problem Computer Science Applications 010101 applied mathematics A priori and a posteriori Applied mathematics 0101 mathematics Mathematics |
| Zdroj: | Inverse Problems in Science and Engineering. 29:525-535 |
| ISSN: | 1741-5985 1741-5977 |
| DOI: | 10.1080/17415977.2020.1797004 |
| Popis: | We consider the problem of guaranteed estimation of unknown right-hand sides of the equations entering the statement of the exterior Neumann problems for the Helmholtz equation from indirect observations of their solutions. A method is developed for the determination of guaranteed a posteriori estimates of this right-hand sides which are compatible with measurement data. It is shown that such estimates can be expressed via solutions of a uniquely solvable system of the Helmholtz equations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|