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A locally conservative, discontinuous least-squares finite element method for the Stokes equations

✍ Scribed by Pavel Bochev; James Lai; Luke Olson

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
484 KB
Volume
68
Category
Article
ISSN
0271-2091

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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

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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