Name
Abstract | ||
|---|---|---|
In this paper an effective meshless and integration-free numerical scheme for solving an inverse spacewise-dependent heat source problem is proposed. Due to the use of the fundamental solution as basis functions, the method leads to a global approximation scheme in both spatial and time domains. The standard Tikhonov regularization technique with the generalized cross-validation criterion for choosing the regularization parameter is adopted for solving the resulting ill-conditioned system of linear algebraic equations. The effectiveness of the algorithm is illustrated by several numerical examples. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.jcp.2008.09.001 | J. Comput. Physics |
Keywords | Field | DocType |
inverse spacewise-dependent heat source,heat source,regularization parameter,global approximation scheme,generalized cross-validation criterion,meshless method method of fundamental solutions heat source ill-posed problem,standard tikhonov regularization technique,integration-free numerical scheme,effective meshless,meshless method,ill-posed problem,basis function,method of fundamental solutions,numerical example,ill-conditioned system,fundamental solution,time domain,tikhonov regularization,linear algebra | Tikhonov regularization,Mathematical optimization,Linear system,Mathematical analysis,Numerical integration,Algebraic equation,Regularization (mathematics),Method of fundamental solutions,Basis function,Mathematics,Regularized meshless method | Journal |
Volume | Issue | ISSN |
228 | 1 | Journal of Computational Physics |
Citations | PageRank | References |
16 | 1.65 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Liang Yan | 1 | 17 | 2.39 |
| Fenglian Yang | 2 | 27 | 3.83 |
| Chu-Li Fu | 3 | 142 | 28.78 |