Numerical approximation of Quasi-Newtonian flows by ALE-FEM

作者:Lee Hyesuk*
来源:Numerical Methods for Partial Differential Equations, 2012, 28(5): 1667-1695.
DOI:10.1002/num.20698

摘要

The aim of this work is to investigate the numerical approximation of a nonlinear, time-dependent quasi-Newtonian flow problem formulated in the framework of Arbitrary Lagrangian Eulerian method. We present some stability results and convergence analysis of finite element solutions for semidiscrete and fully discretized problems, respectively. Numerical results supporting the derived error estimate are also presented.

  • 出版日期2012-9