A C0 finite element method for the biharmonic problem without extrinsic penalization

A symmetric C 0 finite element method for the biharmonic problem is constructed and analyzed. In our approach, we introduce one‐sided discrete second‐order derivatives and Hessian matrices to formulate our scheme. We show that the method is stable and converge with optimal order in a variety of norm...

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Veröffentlicht in:	Numerical methods for partial differential equations 2014-07, Vol.30 (4), p.1254-1278
Hauptverfasser:	Gazi Karakoc, S. Battal, Neilan, Michael
Format:	Artikel
Sprache:	eng
Schlagworte:	biharmonic convergence analysis finite element
Online-Zugang:	Volltext
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