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Journal of Scientific Computing

Erschienen in:

01.01.2013

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

verfasst von: Thirupathi Gudi, Hari Shanker Gupta, Neela Nataraj

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2013

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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.

Vorheriger Artikel Compact Numerical Quadrature Formulas for Hypersingular Integrals and Integral Equations

Nächster Artikel Quadratic Finite Element Approximations of the Monge-Ampère Equation

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Titel: Analysis of an Interior Penalty Method for Fourth Order Problems on Polygonal Domains
verfasst von: Thirupathi Gudi
Hari Shanker Gupta
Neela Nataraj
Publikationsdatum: 01.01.2013
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 1/2013
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-012-9612-9

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