Published April 2010
| Version v1
Journal article
A posteriori error estimates for the adaptivity technique for the Tikhonov functional and global convergence for a coefficient inverse problem
Creators
- 1. Department of Mathematical Sciences, Chalmers University of Technology and Gothenburg University, SE-42196 Gothenburg (Sweden)
- 2. Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223 (United States)
Description
A synthesis of a globally convergent numerical method for a coefficient inverse problem and the adaptivity technique is presented. First, the globally convergent method provides a good approximation for the unknown coefficient. Next, this approximation is refined via the adaptivity technique. The analytical effort is focused on a posteriori error estimates for the adaptivity. A numerical test is presented
Availability note (English)
Available from http://dx.doi.org/10.1088/0266-5611/26/4/045012Additional details
Identifiers
- DOI
- 10.1088/0266-5611/26/4/045012;
- PII
- S0266-5611(10)41551-8;
Publishing Information
- Journal Title
- Inverse Problems
- Journal Volume
- 26
- Journal Issue
- 4
- Journal Page Range
- [27 p.]
- ISSN
- 0266-5611
- CODEN
- INVPET
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 45034667
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTICAL SOLUTION; APPROXIMATIONS; CONVERGENCE; ERRORS; INVERSE SCATTERING PROBLEM; NUMERICAL ANALYSIS
- Descriptors DEC
- CALCULATION METHODS; MATHEMATICAL SOLUTIONS; MATHEMATICS