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First Order LSFEM for Fluid-Structure Problems

  1. Oliver Kayser-Herold*,
  2. Hermann G. Matthies*

Article first published online: 15 FEB 2005

DOI: 10.1002/pamm.200410201

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PAMM

PAMM

Volume 4, Issue 1, pages 440–441, December 2004

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How to Cite

Kayser-Herold, O. and Matthies, H. G. (2004), First Order LSFEM for Fluid-Structure Problems. Proc. Appl. Math. Mech., 4: 440–441. doi: 10.1002/pamm.200410201

Author Information

  1. Institut für Wissenschaftliches Rechnen, Technische Universität Braunschweig, 38092 Braunschweig

*Phone: +49 531 391 3009, Fax: +49 531 391 3003

Publication History

  1. Issue published online: 15 FEB 2005
  2. Article first published online: 15 FEB 2005

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References

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    Bochev, P., Cai, Z., Manteuffel, T. A., and McCormick, S. F. Analysis of velocity-flux first-order system least-squares principles for the Navier-Stokes equations: Part I. SIAM J. Numer. Anal. 35, 3 (1998), 990–1009.
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    Bochev, P., and Gunzburger, M. Analysis of least-squares finite element methods for the Stokes equations. Math. Comp. 63 (1994), 479–506.
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    Bochev, P., Manteuffel, T. A., and McCormick, S. F. Analysis of velocity-flux least-squares principles for the Navier–Stokes equations: Part II. SIAM J. Numer. Anal. 36, 4 (1999), 1125–1144.
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    Hübner, B., Walhorn, E., and Dinkler, D. A monolithic approach for fluid-structure interaction with space-time finite elements. Comput. Methods Appl. Mech. Engrg. (2004).
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    Jiang, B. The Least-Squares Finite Element Method. Springer-Verlag, Berlin, 1998.
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    Schäfer, M., and Turek, S. Benchmark computations of laminar flow around a cylinder. In Flow Simulations with High- Performance Computers II, E. Hirschel, Ed., vol. 52. Vieweg, Braunschweig, 1996, pp. 547–566.
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    Wall, W. Fluid-Struktur Interaktion mit stabilisierten Finiten Elementen. PhD thesis, Universität Stuttgart, 1999.
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