Name
Title | ||
|---|---|---|
Computational Algorithm for Identification of the Right-Hand Side of the Parabolic Equation. |
Abstract | ||
|---|---|---|
Among inverse problems for PDEs we distinguish coefficient inverse problems, which are associated with the identification of the right-hand side of an equation using some additional information. When considering time-dependent problems, the identification of the right-hand side dependences on space and on time is usually separated into individual problems. We have linear inverse problems; this situation essentially simplify their study. This work deals with the problem of determining in a multidimensional parabolic equation the right-hand side that depends on time only. To solve numerically a inverse problem we use standard finite difference approximations in space. The computational algorithm is based on a special decomposition, where the transition to a new time level is implemented via solving two standard elliptic problems. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1007/978-3-319-20239-6_43 | Lecture Notes in Computer Science |
DocType | Volume | ISSN |
Conference | 9045 | 0302-9743 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Petr N. Vabishchevich | 1 | 37 | 27.46 |
| Maria V. Vasilyeva | 2 | 5 | 2.32 |
| Vasily I. Vasilyev | 3 | 0 | 0.34 |