A \(C^0\) interior penalty method for a von Kármán plate
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- 作者：Susanne C. Brenner ; Michael Neilan ; Armin Reiser ; Li-Yeng Sung
- 关键词：Mathematics Subject ClassificationPrimary 65N30 ; 65N15 ; Secondary 74K20
- 刊名：Numerische Mathematik
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：135
- 期：3
- 页码：803-832
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Numerical Analysis; Mathematics, general; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation; Appl.Mathematics/Comput
- 出版者：Springer Berlin Heidelberg
- ISSN：0945-3245
- 卷排序：135
文摘
We investigate a quadratic \(C^0\) interior penalty method for the approximation of isolated solutions of a von Kármán plate. We prove that the discrete problem is uniquely solvable near an isolated solution and establish optimal order error estimates. Numerical results that illustrate the theoretical estimates are also presented.