Volume 37, pp. 214-238, 2010.

A weakly over-penalized symmetric interior penalty method for the biharmonic problem

Susanne C. Brenner, Thirupathi Gudi, and Li-Yeng Sung

Abstract

We study a weakly over-penalized symmetric interior penalty method for the biharmonic problem that is intrinsically parallel. Both a priori error analysis and a posteriori error analysis are carried out. The performance of the method is illustrated by numerical experiments.

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Key words

biharmonic problem, finite element, interior penalty method, weak over-penalization, Morley element, fourth order

AMS subject classifications

65N30, 65N15

Links to the cited ETNA articles

[12]Vol. 30 (2008), pp. 107-127 Susanne C. Brenner, Luke Owens, and Li-Yeng Sung: A weakly over-penalized symmetric interior penalty method

ETNA articles which cite this article

Vol. 45 (2016), pp. 257-282 Wolfgang Krendl, Katharina Rafetseder, and Walter Zulehner: A decomposition result for biharmonic problems and the Hellan-Herrmann-Johnson method

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