Brenner, Susanne C. ; Gu, Shiyuan ; Gudi, Thirupathi ; Sung, Li-yeng (2012) A Quadratic $C^0$ Interior Penalty Method for Linear Fourth Order Boundary Value Problems with Boundary Conditions of the Cahn--Hilliard Type SIAM Journal on Numerical Analysis, 50 (4). pp. 2088-2110. ISSN 0036-1429
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Official URL: https://doi.org/10.1137/110847469
Related URL: http://dx.doi.org/10.1137/110847469
Abstract
We develop a quadratic C0 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.)
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Society for Industrial and Applied Mathematics. |
| ID Code: | 141577 |
| Deposited On: | 02 Dec 2025 07:56 |
| Last Modified: | 02 Dec 2025 07:56 |
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