Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains |
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| Authors: | Thirupathi Gudi Hari Shanker Gupta Neela Nataraj |
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| Affiliation: | 1. Department of Mathematics, Indian Institute of Science, Bangalore, 560012, India
2. Department of Mathematics, Indian Institute of Technology Bombay, Mumbai, 400076, India
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| 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 H 2, H 1 and L 2 norms. L ?? norm error estimates are also discussed. Theoretical results are demonstrated by numerical experiments. |
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