Analysis of a mixed finite element method for a Cahn-Hilliard-Darcy-Stokes system. (English) Zbl 1330.76065

Diegel, Amanda E.; Feng, Xiaobing H.; Wise, Steven M.

SIAM J. Numer. Anal. 53, No. 1, 127-152 (2015).

MSC:

76M10	Finite element methods applied to problems in fluid mechanics
65M60	Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35M33	Initial-boundary value problems for mixed-type systems of PDEs
35Q35	PDEs in connection with fluid mechanics
65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M15	Error bounds for initial value and initial-boundary value problems involving PDEs
76D07	Stokes and related (Oseen, etc.) flows

Keywords:

Cahn-Hilliard equation; Darcy-Stokes equation; diblock copolymer; mixed finite element methods; convex splitting; energy stability; error estimates