Journal article
The Calculus of Moving Surfaces and Laplace Eigenvalues on an Ellipse with Low Eccentricity
Numerical functional analysis and optimization, v 31(6), pp 679-690
27 Jul 2010
Abstract
Our goal is to demonstrate the utility of the calculus of moving surfaces (CMS) in boundary variation problems. We discuss the relative advantages of the CMS compared to the alternative approach of interior variations. We illustrate the technique by calculating the two leading terms of a power series for the Laplace eigenvalues on an ellipse with semi-axes 1 + a and 1 + b, where a and b are small. We compare the CMS estimates with those obtained by the conventional finite element method with Richardson extrapolation. The comparison confirms the cubic rate of convergence for the CMS estimates.
Metrics
Details
- Title
- The Calculus of Moving Surfaces and Laplace Eigenvalues on an Ellipse with Low Eccentricity
- Creators
- Andrew Fiore - Department of Mathematics , Drexel UniversityPavel Grinfeld - Department of Mathematics , Drexel University
- Publication Details
- Numerical functional analysis and optimization, v 31(6), pp 679-690
- Publisher
- Taylor & Francis Group
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000280380300002
- Scopus ID
- 2-s2.0-77955027158
- Other Identifier
- 991014878501404721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Applied