Paper Info
Title
Bounds for the<Emphasis Type="Italic">N</Emphasis> lowest eigenvalues of fourth-order boundary value problems
Abstract
We describe a method for the calculation of theN lowest eigenvalues of fourth-order problems inH 0 2 (Ω). In order to obtain small error bounds, we compute the defects inH −2(Ω) and, to obtain a bound for the rest of the spectrum, we use a boundary homotopy method. As an example, we compute strict error bounds (using interval arithmetic to control rounding errors) for the 100 lowest eigenvalues of the clamped plate problem in the unit square. Applying symmetry properties, we prove the existence of double eigenvalues.
Year
DOI
Venue
1997
10.1007/BF02684402
Computing
Keywords
DocType
Volume
65N25, Biharmonic operator, eigenvalue enclosures, plate equation, boundary homotopy, double eigenvalues
Journal
59
Issue
ISSN
Citations 
1
1436-5057
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
C. Wieners191.41