Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn–Hilliard Equation and the Hele–Shaw Flow

DOI10.1137/15M1009962zbMath1382.65314arXiv1502.03421OpenAlexW1850510102MaRDI QIDQ2796863

Xiaobing Feng, Yulong Xing, Yukun Li

Publication date: 30 March 2016

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

Full work available at URL: https://arxiv.org/abs/1502.03421

zbMATH Keywords

phase transitionCahn-Hilliard equationdiscontinuous Galerkin methodHele-Shaw problemconvergence of numerical interfacediscrete spectral estimate

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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