A novel numerical method based on a high order polynomial approximation of the fourth order Steklov equation and its eigenvalue problems
Author:
Affiliation:
1. School of Mathematical Sciences, Guizhou Normal University, Guiyang, 550025, China
2. School of Mathematics and Statistics, Linyi University, Linyi, 276005, China
Abstract
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics
Reference29 articles.
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2. J. An, H. Li, Z. Zhang.Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains, Numer. Algorithms, 84 (2020), 427-455.
3. J. An, Z. Zhang.An efficient spectral-Galerkin approximation and error analysis for Maxwell transmission eigenvalue problems in spherical geometries, J. Sci. Comput., 75 (2018), 157-181.
4. A. B. Andreev, T. D. Todorov.Isoparametric finite-element approximation of a Steklov eigenvalue problem, IMA J. Numer. Anal., 24 (2004), 309-322.
5. S. Bergman, M. Schiffer., Kernel Functions and Elliptic Differential Equations in Mathematical Physics, ${ref.volume} (1953).
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