International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 69-72, Pages 3965-3974
doi:10.1155/S0161171204204124
Finite element least-squares methods for a compressible Stokes system
Keehwan Kim1
, Sangdong Kim2
and Sangsik Shin2
1Department of Mathematics, Yeungnam University, Kyongsan 712-749, Korea
2Department of Mathematics, Kyungpook National University, Daegu 702-701, Korea
Abstract
The least-squares functional related to a vorticity variable or a velocity flux variable is considered for two-dimensional compressible Stokes equations. We show ellipticity and continuity in an appropriate product norm for each functional.