Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/76535
Title: On the stabilization size of semi-implicit fourier-spectral methods for 3D Cahn-Hilliard equations
Authors: Li, D
Qiao, ZH 
Keywords: Cahn-Hilliard
Energy stable
Large time stepping
Semi-implicit
Issue Date: 2017
Publisher: International Press
Source: Communications in mathematical sciences, 2017, v. 15, no. 6, p. 1489-1506 How to cite?
Journal: Communications in mathematical sciences 
Abstract: The stabilized semi-implicit time-stepping method is an efficient algorithm to simulate phased field problems with fourth order dissipation. We consider the 3D Cahn-Hilliard equation and prove unconditional energy stability of the corresponding stabilized semi-implicit Fourier spectral scheme independent of the time step. We do not impose any Lipschitz-type assumption on the non linearity. It is shown that the size of the stabilization term depends only on the initial data and the diffusion coefficient. Unconditional Sobolev bounds of the numerical solution are obtained and the corresponding error analysis under nearly optimal regularity assumptions is established.
URI: http://hdl.handle.net/10397/76535
ISSN: 1539-6746
EISSN: 1945-0796
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