On the Analysis of Block Smoothers for Saddle Point Problems

Drzisga D, John L, Rüde U, Wohlmuth BI, Zulehner W (2018)


Publication Language: English

Publication Type: Journal article

Publication year: 2018

Journal

Publisher: Society for Industrial and Applied Mathematics

Book Volume: 39

Pages Range: 932--960

Journal Issue: 2

URI: https://epubs.siam.org/doi/pdf/10.1137/16M1106304

DOI: 10.1137/16m1106304

Abstract

We discuss several Uzawa-type iterations as smoothers in the context of multigrid schemes for saddle point problems. A unified framework to analyze the smoothing properties is presented. The introduction of a new symmetric variant allows us to obtain estimates for popular lower and upper block triangular variants. Numerical experiments for a low order stable and a stabilized P1-conforming discretization for the Stokes problem illustrate the theory. Finally, large-scale three-dimensional examples demonstrate the potential of this class of smoothers.


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APA:

Drzisga, D., John, L., Rüde, U., Wohlmuth, B.I., & Zulehner, W. (2018). On the Analysis of Block Smoothers for Saddle Point Problems. Siam Journal on Matrix Analysis and Applications, 39(2), 932--960. https://dx.doi.org/10.1137/16m1106304

MLA:

Drzisga, Daniel, et al. "On the Analysis of Block Smoothers for Saddle Point Problems." Siam Journal on Matrix Analysis and Applications 39.2 (2018): 932--960.

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