Discrete regularization and convergence of the inverse problem for 1+1 dimensional wave equation
Permalink
Citation
Korpela , J , Lassas , M & Oksanen , L 2019 , ' Discrete regularization and convergence of the inverse problem for 1+1 dimensional wave equation ' , Inverse problems and imaging , vol. 13 , no. 3 , pp. 575-596 . https://doi.org/10.3934/ipi.2019027
| Title: | Discrete regularization and convergence of the inverse problem for 1+1 dimensional wave equation |
| Author: | Korpela, Jussi; Lassas, Matti; Oksanen, Lauri |
| Contributor: | University of Helsinki, Department of Mathematics and Statistics University of Helsinki, Matti Lassas / Principal Investigator University of Helsinki, Department of Mathematics and Statistics |
| Date: | 2019-06 |
| Language: | eng |
| Number of pages: | 22 |
| Belongs to series: | Inverse problems and imaging |
| ISSN: | 1930-8337 |
| URI: | http://hdl.handle.net/10138/326780 |
| Abstract: | An inverse boundary value problem for the 1+1 dimensional wave equation (partial derivative(2)(t) - c(x)(2)partial derivative(2)(x))u(x,t) = 0, x is an element of R+ is considered. We give a discrete regularization strategy to recover wave speed c(x) when we are given the boundary value of the wave, u(0,t), that is produced by a single pulse-like source. The regularization strategy gives an approximative wave speed (c) over tilde, satisfying a Holder type estimate parallel to (c) over tilde - c parallel to |
| Subject: |
Inverse problem
regularization theory wave equation discretization ILL-POSED PROBLEMS NONLINEAR TIKHONOV REGULARIZATION BANACH-SPACES RECONSTRUCTION DIRICHLET STABILITY RECOVERY UNIQUENESS ALGORITHM THEOREM 111 Mathematics |
| Rights: |
Files in this item
Total number of downloads: Loading...
| Files | Size | Format | View |
|---|---|---|---|
| 1803.10541.pdf | 1.283Mb |
View/ |
This item appears in the following Collection(s)
-
Articles from TUHAT CRIS [40228]