A QUADRATIC C degrees INTERIOR PENALTY METHOD FOR LINEAR FOURTH ORDER BOUNDARY VALUE PROBLEMS WITH BOUNDARY CONDITIONS OF THE CAHN-HILLIARD TYPE

Brenner, Susanne C and Gu, Shiyuan and Gudi, Thirupathi and Sung, Li-Yeng (2012) A QUADRATIC C degrees INTERIOR PENALTY METHOD FOR LINEAR FOURTH ORDER BOUNDARY VALUE PROBLEMS WITH BOUNDARY CONDITIONS OF THE CAHN-HILLIARD TYPE. In: SIAM JOURNAL ON NUMERICAL ANALYSIS, 50 (4). pp. 2088-2110.

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Abstract

We develop a quadratic C degrees interior penalty method for linear fourth order boundary value problems with essential and natural boundary conditions of the Cahn-Hilliard type. Both a priori and a posteriori error estimates are derived. The performance of the method is illustrated by numerical experiments.

Item Type:	Journal Article
Publication:	SIAM JOURNAL ON NUMERICAL ANALYSIS
Publisher:	SIAM PUBLICATIONS,
Additional Information:	Copyright for this article belongs to SIAM PUBLICATIONS,PHILADELPHIA, USA
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	10 Dec 2012 07:13
Last Modified:	10 Dec 2012 07:13
URI:	http://eprints.iisc.ac.in/id/eprint/45527

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