Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains
Data(s) |
2013
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Resumo |
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 (a) norm error estimates are also discussed. Theoretical results are demonstrated by numerical experiments. |
Formato |
application/pdf |
Identificador |
http://eprints.iisc.ernet.in/45657/1/jol_sci_com_54-1_177_2013.pdf Gudi, Thirupathi and Gupta, Hari Shanker and Nataraj, Neela (2013) Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains. In: JOURNAL OF SCIENTIFIC COMPUTING, 54 (1). pp. 177-199. |
Publicador |
SPRINGER/PLENUM PUBLISHERS |
Relação |
http://dx.doi.org/10.1007/s10915-012-9612-9 http://eprints.iisc.ernet.in/45657/ |
Palavras-Chave | #Mathematics |
Tipo |
Journal Article PeerReviewed |