A Quadratic $C^0$ Interior Penalty Method for Linear Fourth Order Boundary Value Problems with Boundary Conditions of the Cahn--Hilliard Type-Reference-Cited by-同舟云学术

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A Quadratic $C^0$ Interior Penalty Method for Linear Fourth Order Boundary Value Problems with Boundary Conditions of the Cahn--Hilliard Type

Published:2012-01 Issue:4 Volume:50 Page:2088-2110
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Brenner Susanne C.,Gu Shiyuan,Gudi Thirupathi,Sung Li-yeng

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Link

http://epubs.siam.org/doi/pdf/10.1137/110847469

Reference35 articles.

1. Analysis of mixed methods using mesh dependent norms

2. Finite element methods for elliptic equations using nonconforming elements

3. Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility

4. On fully practical finite element approximations of degenerate Cahn-Hilliard systems

5. A posteriori error estimates for the Morley plate bending element

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4. Unconditional Energy Stability and Solvability for a C0 Interior Penalty Method for a Sixth-Order Equation Modeling Microemulsions;International Journal of Numerical Analysis and Modeling;2023-06

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