DISCONTINUOUS GALERKIN FINITE ELEMENT APPROXIMATION OF THE CAHN-HILLIARD EQUATION WITH CONVECTION

作者：Kay David^*; Styles Vanessa; Sueli Endre

来源：SIAM Journal on Numerical Analysis, 2009, 47(4): 2660-2685.

DOI：10.1137/080726768

• Cahn-Hilliard equation
• discontinuous Galerkin finite element method
• convergence
• error analysis

The paper is concerned with the construction and convergence analysis of a discontinuous Galerkin finite element method for the Cahn-Hilliard equation with convection. Using discontinuous piecewise polynomials of degree p >= 1 and backward Euler discretization in time, we show that the order-parameter c is approximated in the broken L(infinity)(H(

• 出版日期2009