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A new investigation into regularization techniques for the method of fundamental solutions

✍ Scribed by Ji Lin; Wen Chen; Fuzhang Wang


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
291 KB
Volume
81
Category
Article
ISSN
0378-4754

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πŸ“œ SIMILAR VOLUMES


Method of fundamental solutions with opt
✍ Takemi Shigeta; D.L. Young πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 659 KB

The purpose of this study is to propose a high-accuracy and fast numerical method for the Cauchy problem of the Laplace equation. Our problem is directly discretized by the method of fundamental solutions (MFS). The Tikhonov regularization method stabilizes a numerical solution of the problem for gi

The method of fundamental solutions and
✍ C. S. Chen; M. A. Golberg; Y. C. Hon πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 131 KB πŸ‘ 2 views

The Laplace transform is applied to remove the time-dependent variable in the di usion equation. For nonharmonic initial conditions this gives rise to a non-homogeneous modiΓΏed Helmholtz equation which we solve by the method of fundamental solutions. To do this a particular solution must be obtained