2011.80: Robust Stabilized Stokes Approximation Methods for Highly Stretched Grids
2011.80: David Silvester and Qifeng Liao (2011) Robust Stabilized Stokes Approximation Methods for Highly Stretched Grids.
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Anisotropic meshes are important for efficiently resolving incompressible flow problems that include boundary layer or corner singularity phenomena. Unfortunately, the stability of standard inf-sup stable mixed approximation methods is prone to degeneracy whenever the mesh aspect ratio becomes large. As an alternative, a stabilized mixed approximation method is considered here. Specifically, a robust a priori error estimate for the local jump stabilized Q1-P0 approximation introduced by Kechkar & Silvester (1992, Math. Comp., 58, 1-10) is established for anisotropic meshes. Our numerical results demonstrate that the stabilized Q1-P0 method is competitive with the nonconforming nonparametric rotated approximation method introduced by Rannacher & Turek (1992, Numer. Meth. Part. Diff. Equations, 8, 97-111).
|Item Type:||MIMS Preprint|
|Uncontrolled Keywords:||Stokes equations; mixed approximation; inf-sup stability; anisotropic grid refinement.|
|Subjects:||MSC 2000 > 35 Partial differential equations|
MSC 2000 > 65 Numerical analysis
MSC 2000 > 76 Fluid mechanics
|Deposited By:||professor david silvester|
|Deposited On:||18 October 2011|