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Published in:
2002 | OriginalPaper | Chapter
Non-Conforming hp Finite Element Methods for Stokes Problems
Authors : Faker Ben Belgacem, Lawrence K. Chilton, Padmanabhan Seshaiyer
Published in: Recent Developments in Domain Decomposition Methods
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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In this paper, we present a non-conforming hp finite element formulation for the Stokes boundary value problem for viscous incompressible fluid flow in primal velocity-pressure variables. Within each subdomain the local approximation is designed using div-stable hp-mixed finite elements. We demonstrate via numerical experiments that the non-conforming method is optimal for various h, p and hp discretizations, including the case of exponential hp convergence over geometric meshes.