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FETI Methods for the Simulation of Biological Tissues

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Domain Decomposition Methods in Science and Engineering XX

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

Summary

In this paper we describe the application of finite element tearing and interconnecting methods for the simulation of biological tissues, as a particular application we consider the myocardium. As most other tissues, this material is characterized by anisotropic and nonlinear behavior.

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Acknowledgements

This work was supported by the Austrian Science Fund (FWF) and by the TU Graz within the SFB Mathematical Optimization and Applications in Biomedical Sciences. The authors would like to thank G. A. Holzapfel, G. Of, G. Plank, and C. Pechstein for the fruitful cooperation and many helpful discussions. We also thank the referees for their helpful remarks and suggestions.

Author information

Authors and Affiliations

  1. Institute of Computational Mathematics, TU Graz, Steyrergasse 30, 8010, Graz, Austria

    Christoph Augustin & Olaf Steinbach

Authors
  1. Christoph Augustin
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  2. Olaf Steinbach
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Corresponding author

Correspondence to Christoph Augustin .

Editor information

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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Augustin, C., Steinbach, O. (2013). FETI Methods for the Simulation of Biological Tissues. 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_59

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