Name
Title | ||
|---|---|---|
A new a posteriori parameter choice strategy for the convolution regularization of the space-fractional backward diffusion problem. |
Abstract | ||
|---|---|---|
In this paper, we consider a backward space-fractional diffusion problem. We propose an a posteriori parameter choice rule for the regularization method given in Zheng and Wei (2010), where the authors proposed a regularization method called convolution regularization method, and gave an a priori parameter choice strategy. In this paper, we study the same problem but give a new a posteriori parameter choice based on a modified version of the discrepancy principle, and obtain a log -type error estimate under an additional source condition. Numerical results show that our method is feasible. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.cam.2014.11.013 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
Backward space-fractional diffusion problem,Posteriori parameter choice strategy,Convolution regularization method,Error estimate | Mathematical optimization,Convolution,A priori and a posteriori,Regularization (mathematics),Mathematics | Journal |
Volume | Issue | ISSN |
279 | C | 0377-0427 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Cong Shi | 1 | 1 | 1.04 |
| Chen Wang | 2 | 3 | 0.71 |
| Guanghui Zheng | 3 | 0 | 0.34 |
| T. Wei | 4 | 87 | 18.96 |