A Quadratic $C^0$ Interior Penalty Method for Linear Fourth Order Boundary Value Problems with Boundary Conditions of the Cahn--Hilliard Type
Abstract
We develop a quadratic $C^0$ 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. (A corrected PDF is attached.)
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© 2012, Society for Industrial and Applied Mathematics.
History
Submitted: 9 September 2011
Accepted: 31 May 2012
Published online: 21 August 2012
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