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2018 | OriginalPaper | Chapter

Robust Multigrid Methods for Isogeometric Discretizations of the Stokes Equations

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Abstract

In recent publications, the author and his coworkers have proposed a multigrid method for solving linear systems arising from the discretization of partial differential equations in isogeometric analysis and have proven that the convergence rates are robust in both the grid size and the polynomial degree. So far the method has only been discussed for the Poisson problem. In the present paper, we discuss the extension the of these results to the Stokes equations.

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Metadata
Title
Robust Multigrid Methods for Isogeometric Discretizations of the Stokes Equations
Author
Stefan Takacs
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-93873-8_49

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