Local Discontinuous Galerkin Methods for the Functionalized Cahn–Hilliard Equation

In this paper, we develop a local discontinuous Galerkin (LDG) method for the sixth order nonlinear functionalized Cahn–Hilliard (FCH) equation. We address the accuracy and stability issues from simulating high order stiff equations in phase-field modeling. Within the LDG framework, various boundary...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 63; no. 3; pp. 913 - 937
Main Authors:	Guo, Ruihan, Xu, Yan, Xu, Zhengfu
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2015 Springer Nature B.V
Subjects:	Accuracy Algorithms Boundary conditions Computational Mathematics and Numerical Analysis Computer simulation Efficiency Energy Finite element method Galerkin method Galerkin methods Linear equations Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical models Mathematics Mathematics and Statistics Methods Morphology Nonlinearity Numerical analysis Ordinary differential equations Partial differential equations Polymers Simulation Solvers Stability Temporal logic Theoretical Time marching Functionalized Cahn–Hilliard equation Stability Multigrid algorithm Local discontinuous Galerkin method
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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