Analysis of a novel finite element method for a modified Cahn-Hilliard-Hele-Shaw system

DOI10.1016/j.cam.2020.112846zbMath1436.65184OpenAlexW3013471703MaRDI QIDQ1987451

Hongen Jia, Yunqing Huang, Yayu Guo, Jichun Li

Publication date: 15 April 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.112846

zbMATH Keywords

Hele-Shaw cellmodified Cahn-Hilliard equationenergy stabilityunconditionally stableconvex splitting

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Other free boundary flows; Hele-Shaw flows (76D27) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items

A decoupled finite element method for a modified Cahn-Hilliard-Hele-Shaw system, A second-order backward differentiation formula for the numerical solution of Cahn-Hilliard-Hele-Shaw system, A non-uniform time-stepping convex splitting scheme for the time-fractional Cahn-Hilliard equation, Analysis of a linearized energy stable numerical scheme for a modified incompressible Cahn-Hilliard-Navier-Stokes system, Unconditionally energy stable second-order numerical schemes for the functionalized Cahn-Hilliard gradient flow equation based on the SAV approach, Numerical analysis of a second-order IPDGFE method for the Allen-Cahn equation and the curvature-driven geometric flow, A reduced-order finite element method based on proper orthogonal decomposition for the Allen-Cahn model, Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model

Uses Software

• FreeFem++

Cites Work

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