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

DOI10.1137/110847469zbMath1256.65101OpenAlexW2080567316MaRDI QIDQ3168513

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Publication date: 31 October 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110847469

zbMATH Keywords

numerical resultsCahn-Hilliard equationdiscontinuous Galerkin methoda posteriori error analysisadaptive meshesa priori error analysis\(C^0\) interior penalty methodessential and natural boundary conditionsHsieh-Clough-Tocher macro element spacelinear fourth-order boundary value problemsquadratic Lagrange finite element space

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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