Rationale Eigenwertaufgaben der Fluid-Struktur Interaktion

Die Eigenfrequenzen der mechanischen Schwingungen eines Fluids, in den

feste Strukturen gesenkt sind, wird durch rationale variationelle

Eigenwertaufgaben beschrieben, die häufig nichtlokale Randbedingungen besitzen.

Ziel dieses Projektes ist es, für lineare Eigenwertaufgaben bekannte Ergebnisse

wie variationelle Charakterisierungen, Vergleichssätze oder Approximationseigenschaften

zu übertragen und hiermit zu effizienten Algorithmen zu gelangen.

• 4-13.069V
  Timo Betcke, Heinrich Voss: A Jacobi-Davidson type projection method for nonlinear eigenvalue problems. Future Generation Computer Systems, 20, pp. 363--372 (2004)
• 4-13.070V
  Heinrich Voss: A rational spectral problem in fluid-solid vibration.Electronic Transactions on Numerical Analysis 16, pp. 94--106 (2003)
• 4-13.072V
  Heinrich Voss: A Maxmin Principle for Nonlinear Eigenvalue Problems with Application to a Rational Spectral Problem in Fluid-Solid Vibration.Applications of Mathematics 48, pp. 607--622 (2003))
• 4-13.073V
  Heinrich Voss: A Projection Method for a Rational Eigenvalue Problem in Fluid-Structure Interaction. pp. 403--411 in P.M.A. Sloot, C.J.K. Tan, J.J. Dongarra, A.G. Hoekstra (eds.), Computational Science 2002, LNCS 2330, Springer Verlag, Berlin 2002
• 4-13.074V
  Heinrich Voss: Solving a Rational Eigenvalue Problem in Fluid-Structure Interaction. pp. 179--188 in C.A. Brebbia, P. Meli, A. Zanasi (eds.), Applications of High-Performance Computing in Engineering VII. WIT Press, Southampton 2002
• 4-13.080V
  Heinrich Voss: Quadratic eigenproblems of restricted rank - Remark on a paper of Conca, Duran and Planchard. Adv. Math. Sci. Appl. 14, 35--39 (2004)
• 4-13.081V
  Lada Mazurenko, Heinrich Voss: On the number of eigenvalues of a rational eigenproblem. Report 61, Arbeitsbereich Mathematik, TU Hamburg-Harburg 2003.
• 4-13.082V
  Heinrich Voss: Locating real eigenvalues of a spectral problem in fluid-solid type structures. J. Appl. Math. 2005, 37--48 (2005)
• 4-13.087V
  Frank Bloemeling, Heinrich Voss: Model Reduction Methods for Solving Symmetric Rational Eigenvalue Problems. Proc. Appl. Math. Mech. 4, 660--661 (2004)
• 4-13.089V
  Heinrich Voss: Initializing iterative projection methods for rational symmetric eigenproblems. Online Proceedings, Dagstuhl Seminar on Theoretical and Computational Aspects of Matrix Algorithms, Schloss Dagstuhl 2003. http://www.dagstuhl.de/03421/proceedings/
• 4-13.093V
  Heinrich Voss: Eigenvibrations of a plate with elastically attached loads in P. Neittaanmäki, T. Rossi, S. Korotov, E. Onate, J. Periaux, D. Knärzer (eds.). Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering. ECCOMAS 2004, Jyväskylä, Finnland 2004, ISBN 951-39-1869-6
• 4-13.111V
  Heinrich Voss: Numerical methods for sparse nonlinear eigenproblems.pp. 133 -- 160 in I. Marek, J. Holenda (eds.), Proceedings of the XV-th Summer School on Software and Algorithms of Numerical Mathematics, Hejnice, 2003, University of West Bohemia, Pilsen, Czech Republic, 2004
• 4-13.112V
  Volker Mehrmann, Heinrich Voss: Nonlinear eigenvalue problems: A challenge for modern eigenvalue methods. GAMM-Mitt. 27, 121--152 (2004)
• 4-13.114V
  Kolja Elssel, Heinrich Voss: Automated multi-level substructuring for nonlinear eigenproblems. Paper 231 in B.H.V. Topping (ed.), Proceedings of the Tenth International Conference on Civil, Structural, and Engineering Computing, Rome, Italy 2005, ISBN 1-905088-04-3
• 4-13.117V
  Kolja Elssel, Heinrich Voss: Solving nonlinear eigenproblems by AMLS Proc.Appl.Math.Mech. 5, 765 -- 766 (2005)
• 4-13.119V
  Heinrich Voss: Projection methods for nonlinear sparse eigenvalue problems Annals of the European Academy of Sciences, 152 -- 183 (2005)
• 4-13.123V
  Lada Mazurenko, Heinrich Voss: Low rank rational perturbations of linear symmetric eigenproblems. Z. Angew. Math. Mech. 86, 606 -- 616 (2006)
• 4-13.128V
  Kolja Elssel, Heinrich Voss: Reducing sparse nonlinear eigenproblems by Automated Multi-Level Substructuring. Erscheint in Advances in Engineering Software
• 4-13.140D
  Kolja Elssel Automated Multilevel Substructuring fot Nonlinear Eigenvalue Problems