A rational spectral problem in fluid-solid vibration

zbMath1201.35152MaRDI QIDQ1407724

Heinrich Voss

Publication date: 27 January 2004

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116608

zbMATH Keywords

nonlinear eigenvalue problemfluid structure interactionmaxmin principle

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to problems in fluid mechanics (76M30) Variational principles of physics (49S05)

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Generalized Fiedler pencils with repetition for rational matrix functions ⋮ Affine spaces of strong linearizations for rational matrices and the recovery of eigenvectors and minimal bases ⋮ Generalized Fiedler Pencils for Rational Matrix Functions ⋮ Recovery of eigenvectors of rational matrix functions from Fiedler-like linearizations ⋮ A minmax principle for nonlinear eigenproblems depending continuously on the eigenparameter ⋮ Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods ⋮ Linearizations for Rational Matrix Functions and Rosenbrock System Polynomials ⋮ Sensitivity Analysis of Nonlinear Eigenproblems ⋮ PDE eigenvalue iterations with applications in two-dimensional photonic crystals ⋮ Fiedler Linearizations for Higher Order State-Space Systems

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