Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations
Markus Stammberger; Heinrich Voss
Applications of Mathematics (2014)
- Volume: 59, Issue: 1, page 1-13
- ISSN: 0862-7940
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topStammberger, Markus, and Voss, Heinrich. "Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations." Applications of Mathematics 59.1 (2014): 1-13. <http://eudml.org/doc/260806>.
@article{Stammberger2014,
abstract = {Small amplitude vibrations of an elastic structure completely filled by a fluid are considered. Describing the structure by displacements and the fluid by its pressure field one arrives at a non-selfadjoint eigenvalue problem. Taking advantage of a Rayleigh functional we prove that its eigenvalues can be characterized by variational principles of Rayleigh, minmax and maxmin type.},
author = {Stammberger, Markus, Voss, Heinrich},
journal = {Applications of Mathematics},
keywords = {eigenvalue problem; fluid-solid vibration; variational characterization; minmax principle; maxmin principle; eigenvalue problem; fluid-solid vibration; variational characterization; min-max principle; max-min principle},
language = {eng},
number = {1},
pages = {1-13},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations},
url = {http://eudml.org/doc/260806},
volume = {59},
year = {2014},
}
TY - JOUR
AU - Stammberger, Markus
AU - Voss, Heinrich
TI - Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 1
SP - 1
EP - 13
AB - Small amplitude vibrations of an elastic structure completely filled by a fluid are considered. Describing the structure by displacements and the fluid by its pressure field one arrives at a non-selfadjoint eigenvalue problem. Taking advantage of a Rayleigh functional we prove that its eigenvalues can be characterized by variational principles of Rayleigh, minmax and maxmin type.
LA - eng
KW - eigenvalue problem; fluid-solid vibration; variational characterization; minmax principle; maxmin principle; eigenvalue problem; fluid-solid vibration; variational characterization; min-max principle; max-min principle
UR - http://eudml.org/doc/260806
ER -
References
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