This article studies a least-squares finite element method for the numerical approximation of compressible Stokes equations. Optimal order error estimates for the velocity and pressure in the H 1 are established. The choice of finite element spaces for the velocity and pressure is not subject to the
A least-square mixed method for Stokes equations
β Scribed by P. Shi; X. Ye
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 92 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0749-159X
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β¦ Synopsis
We prove the convergence of a least-square mixed method for Stokes equations by use of an operator theoretic approach. The method does not require LBB condition on the finite dimensional subspaces. The resulting bilinear form is symmetric and positive definite, which leads to optimal convergence and the h -2 condition number.
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