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Stable and stabilized hp–finite element methods for the Stokes problem

✍ Scribed by Dominik Schötzau; Klaus Gerdes; Christoph Schwab

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
158 KB
Volume
33
Category
Article
ISSN
0168-9274

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✦ Synopsis

Two hp-finite element methods for the Stokes problem in polygonal domains are presented: We discuss the S k × S k-2 elements which are stable on anisotropic and irregular meshes and introduce a stabilized Galerkin Least Squares approach featuring equal-order interpolation in the velocity and the pressure. Both methods lead to exponential rates of convergence provided that the data is piecewise analytic. Numerical studies on an L-shaped domain confirm these theoretical results.

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