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Domain Decomposition Methods in Science and Engineering XX pp 127–134Cite as

Multigrid Methods for the Biharmonic Problem with Cahn-Hilliard Boundary Conditions

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 91))

Abstract

Let \(\varOmega\;\subset\;\mathbb{R}^2\) be a bounded polygonal domain, \({V}\;=\;\left\{{v}\;\in\;H^2\left(\varOmega\right) \;:\;\partial {v}/\partial {n}\;=\;0\;\;\mathrm{on}\;\;\partial \varOmega\right\}\) and \(f\;\in\;L_2(\varOmega)\)

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Bibliography

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Acknowledgements

This work was supported in part by the National Science Foundation under Grant No. DMS-10-16332 and by the Institute for Mathematics and its Applications with funds provided by the National Science Foundation.

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Authors and Affiliations

  1. Department of Mathematics and Center for Computation & Technology, Louisiana State University, Baton Rouge, LA, 70803, USA

    Susanne C. Brenner, Shiyuan Gu & Li-yeng Sung

Authors
  1. Susanne C. Brenner
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  2. Shiyuan Gu
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  3. Li-yeng Sung
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Corresponding author

Correspondence to Susanne C. Brenner .

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Editors and Affiliations

  1. , Department of Mathematics, University of California, San Diego, Gilman Drive 9500, La Jolla, 92093-0112, California, USA

    Randolph Bank

  2. , Department of Mathematics, University of California, San Diego, Gilman Drive 9500, La Jolla, 92093-0112, California, USA

    Michael Holst

  3. , Courant Institute of Mathematical, New York University, Mercer Street 251, New York, 10012-1185, New York, USA

    Olof Widlund

  4. , Department of Mathematics, Pennsylvania State University, State College, 16802, Pennsylvania, USA

    Jinchao Xu

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Brenner, S.C., Gu, S., Sung, Ly. (2013). Multigrid Methods for the Biharmonic Problem with Cahn-Hilliard Boundary Conditions. In: Bank, R., Holst, M., Widlund, O., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35275-1_13

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