Details

Autor(en) / Beteiligte

• Ma, Yun-Jie
• Fu, Chu-Li

Titel

Cauchy problem for the Laplace equation in a radially symmetric hollow cylinder

Ist Teil von

• Boundary value problems, 2016-11, Vol.2016 (1), p.1-16, Article 195

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2016

Quelle

Springer LINK 全文期刊数据库

Beschreibungen/Notizen

• In this paper, an axisymmetric Cauchy problem for the Laplace equation in an unbounded hollow cylinder is considered. The Cauchy data are given on the inside surface of the cylinder, and the solution on the whole domain is sought. We propose a Fourier method with a priori and a posteriori parameter choice rules to solve this ill-posed problem. It is shown that the approximate solutions are stably convergent to the exact ones with explicit error estimates. A further comparison in the numerical aspects demonstrates the effectiveness and accuracy of the presented methods.