Gudi, Thirupathi ; Gupta, Hari Shanker ; Nataraj, Neela (2013) Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains Journal of Scientific Computing, 54 (1). pp. 177-199. ISSN 0885-7474
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Official URL: http://doi.org/10.1007/s10915-012-9612-9
Related URL: http://dx.doi.org/10.1007/s10915-012-9612-9
Abstract
Error analysis for a stable C 0 interior penalty method is derived for general fourth order problems on polygonal domains under minimal regularity assumptions on the exact solution. We prove that this method exhibits quasi-optimal order of convergence in the discrete H2, H1 and L2 norms. L∞ norm error estimates are also discussed. Theoretical results are demonstrated by numerical experiments.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Nature Switzerland AG. |
| ID Code: | 122923 |
| Deposited On: | 26 Aug 2021 08:52 |
| Last Modified: | 26 Aug 2021 08:52 |
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