Mallik, Gouranga ; Nataraj, Neela (2016) Conforming finite element methods for the von Kármán equations Advances in Computational Mathematics, 42 (5). pp. 1031-1054. ISSN 1019-7168
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Official URL: http://doi.org/10.1007/s10444-016-9452-5
Related URL: http://dx.doi.org/10.1007/s10444-016-9452-5
Abstract
In this paper, we consider canonical von Kármán equations that describe the bending of thin elastic plates defined on polygonal domains. A conforming finite element method is employed to approximate the displacement and Airy stress functions. Optimal order error estimates in energy, H1 and L2 norms are deduced. The results of numerical experiments confirm the theoretical results obtained.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Nature Switzerland AG. |
| ID Code: | 122910 |
| Deposited On: | 26 Aug 2021 06:19 |
| Last Modified: | 26 Aug 2021 06:19 |
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