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Mathematics of Computation

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Elliptical membranes with smallest second eigenvalue

Author: B. Andreas Troesch
Journal: Math. Comp. 27 (1973), 767-772
MSC: Primary 73.65
MathSciNet review: 0421277
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Abstract: The elliptic membranes with fixed boundary are determined, for which the second eigenfrequency is a minimum if the area or if the circumference is prescribed. The results are compared with those of some other shapes. A remark is made about the overtones of elliptic membranes.

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Keywords: Linear membrane vibrations, isoperimetric shape, acoustical overtones
Article copyright: © Copyright 1973 American Mathematical Society