This article applies the first-order system least-squares (fosls) finite element method developed by Cai, Manteuffel and McCormick to the compressible Stokes equations. By introducing a new dependent velocity flux variable, we recast the compressible Stokes equations as a first-order system. Then it is shown that the ellipticity and continuity hold for the least-squares functionals employing the mixture of H-1 and L2, so that the fosls finite element methods yield best approximations for the velocity flux and velocity.
|Number of pages||11|
|Journal||Numerical Methods for Partial Differential Equations|
|Publication status||Published - 2001 Nov|
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics