𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convergence analysis for the Cauchy problem of Laplace’s equation by a regularized method of fundamental solutions

✍ Scribed by T. Wei; D. Y. Zhou

Publisher
Springer
Year
2009
Tongue
English
Weight
427 KB
Volume
33
Category
Article
ISSN
1019-7168

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Method of fundamental solutions with opt
Method of fundamental solutions with optimal regularization techniques for the Cauchy problem of the Laplace equation with singular points
✍ Takemi Shigeta; D.L. Young 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 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

Regularized solution of the Cauchy probl
Regularized solution of the Cauchy problem for the Laplace equation using Meyer wavelets
✍ C. Vani; A. Avudainayagam 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 507 KB

We consider the Cauchy problem for the Laplace equation in the half plane x > 0 where the Cauchy data is given at x = 0 and the solution is sought in the interval 0 < x < 1. This is a model ill-posed problem since a small perturbation in the initial data leads to large errors in the solution. We use