Abstract
We derive some basic properties for a class of discretely divergence free finite elements. These make possible a new proof of the smoothing property in a standard multigrid algorithm for the Stokes equations. In addition with appropriate divergence-free grid transfer routines of second order accuracy we get the full multigrid convergence. We demonstrate how to develop and implement efficiently these operators and confirm our theoretical results by numerical tests.
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© 1994 Springer Basel AG
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Turek, S. (1994). Multigrid Techniques for Simple Discretely Divergence-free Finite Element Spaces. In: Hemker, P.W., Wesseling, P. (eds) Multigrid Methods IV. ISNM International Series of Numerical Mathematics, vol 116. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8524-9_24
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DOI: https://doi.org/10.1007/978-3-0348-8524-9_24
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9664-1
Online ISBN: 978-3-0348-8524-9
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