|
|||||
|
|
Desingularized meshless method for solving Laplace equation with over-specified boundary conditions using regularization techniques |
|
| Authors: | K H Chen J H Kao J T Chen K L Wu |
| Affiliation: | (1) Department of Civil Engineering, National Ilan University, Ilan, 26047, Taiwan;(2) Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan, 70101, Taiwan;(3) Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung, 20224, Taiwan;(4) Department of Civil Engineering, National Taiwan University, Taipei, 10617, Taiwan |
| Abstract: | The desingularized meshless method (DMM) has been successfully used to solve boundary-value problems with specified boundary conditions (a direct problem) numerically. In this paper, the DMM is applied to deal with the problems with over-specified boundary conditions. The accompanied ill-posed problem in the inverse problem is remedied by using the Tikhonov regularization method and the truncated singular value decomposition method. The numerical evidences are given to verify the accuracy of the solutions after comparing with the results of analytical solutions through several numerical examples. The comparisons of results using Tikhonov method and truncated singular value decomposition method are also discussed in the examples. |
| Keywords: | Desingularized meshless method Tikhonov method Truncated singular value decomposition method Inverse problem Subtracting and adding-back technique |
| 本文献已被 SpringerLink 等数据库收录！ | |