scholarly journals Error Estimates of Semidiscrete and Fully Discrete Finite Element Methods for the Cahn--Hilliard--Cook equation

2020 ◽  
Vol 58 (3) ◽  
pp. 1613-1653
Author(s):  
Ruisheng Qi ◽  
Xiaojie Wang
Keyword(s):  
Finite Element ◽  
Error Estimates ◽  
Finite Element Methods ◽  
Fully Discrete ◽  
Discrete Finite Element

scholarly journals Fully Discrete Finite Element Methods for Two-Dimensional Bingham Flows

2018 ◽  
Vol 2018 ◽  
pp. 1-13
Author(s):  
Cheng Fang ◽  
Yuan Li
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Piecewise Linear ◽  
Finite Element Approximation ◽  
Element Approximation ◽  
Two Dimensional ◽  
Stabilized Finite Element ◽  
Fully Discrete ◽  
Stabilized Finite Element Method ◽  
Discrete Finite Element

This paper presents fully discrete stabilized finite element methods for two-dimensional Bingham fluid flow based on the method of regularization. Motivated by the Brezzi-Pitkäranta stabilized finite element method, the equal-order piecewise linear finite element approximation is used for both the velocity and the pressure. Based on Euler semi-implicit scheme, a fully discrete scheme is introduced. It is shown that the proposed fully discrete stabilized finite element scheme results in the h1/2 error order for the velocity in the discrete norms corresponding to L2(0,T;H1(Ω)2)∩L∞(0,T;L2(Ω)2).

Sign in / Sign up

Export Citation Format

Share Document