A quadratic C o interior penalty method for linear fourth order boundary value problems with boundary conditions of the Cahn-Hilliard type

Document Type

Article

Publication Date

9-24-2012

Abstract

We develop a quadratic C 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. © 2012 Society for Industrial and Applied Mathematics. o

Publication Source (Journal or Book title)

SIAM Journal on Numerical Analysis

First Page

2088

Last Page

2110

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