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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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Abstract

The Least-Squares Finite Element Method (LSFEM) is an interesting alternative to the standard variational principles, which are used to solve partial differential equations. Advantages of the LSFEM are its robustness and the resulting symmetric positive definite matrices, which allow the use of robust iterative solvers like the CG method. In this paper we consider the application of the LSFEM for Fluid-Structure Interaction (FSI) problems. Our model uses the LSFEM for the discretisation of the instationary incompressible Navier-Stokes equations, which is coupled with a standard Galerkin FEM model for a linear elastic structure. The results for a simple model problem agree well with results obtained by other authors with different numerical schemes. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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