Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains


Autoria(s): Gudi, Thirupathi; Gupta, Hari Shanker; Nataraj, Neela
Data(s)

2013

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