Title   name
2007년 KSIAM 봄 학술대회
 
  Title
  Speaker   Pyo, Jae-Hong  
  Date 2007-05-25
  Host
  Place KAIST
  File  의 1 번째 Real Media 동영상입니다. 의 1 번째 강연자료입니다.
 
Abstract : The Gauge-Uzawa nite element method (GU-FEM)[3] is a fully discrete projection type methodto solve the evolution Navier-Stokes equations, which overcomes many shortcomings of projectionmethods and displays superior numerical performance. Since Gauge-Uzawa is consistentwith Navier-Stokes equations, it can be applied easily to more complicate uid problems [4,6]and the normal mode solution shows full accuracy without spurious boundary layer term forsmooth solutions in contrast other projection type methods [7]. In addition, it is an unconditionallystable scheme [3]. However, we have only suboptimal accuracy via the energy estimatewhich has been proved in [3]. In this paper, we consider semi-discrete Gauge-Uzawa methodto prove optimal convergence via energy estimate: