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

SIAM Journal on Numerical Analysis, ISSN: 0036-1429, Vol: 50, Issue: 4, Page: 2088-2110
2012
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Article Description

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.

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