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On high-order finite element solution of eigenvalue problems on isospectral surfaces.
- Source :
-
Computers & Mathematics with Applications . Aug2024, Vol. 168, p22-32. 11p. - Publication Year :
- 2024
-
Abstract
- Isospectral surfaces provide a rich family of benchmark problems. In this paper the efficacy of a hp -finite element method in such Laplace-Beltrami eigenvalue problems has been studied. In addition, for the p -version natural auxiliary space error estimators have been shown to be effective also in this context. As part of the numerical experiments further numerical evidence of the validity of the so-called Quarter Sphere Conjecture has been produced. For the isospectral surface pairs constructed via transplantation, the extension for perforated surfaces is derived. The lack of such constraints for surfaces with isothermal coordinates is also demonstrated. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 168
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 178597762
- Full Text :
- https://doi.org/10.1016/j.camwa.2024.05.022