Affiliation:
1. Department of Mathematics Science, University of Delaware, Newark, DE 19716, USA
Abstract
Abstract
We propose a hybridizable discontinuous Galerkin (HDG) method for approximating the Steklov eigenvalue problem. We prove optimal convergence rates for the eigenvalues and the eigenfunctions, and under some regularity assumptions we obtain a superconvergent rate for the eigenvalues. Moreover, after we eliminate the flux variable and the scalar variable, the reduced eigenvalue problem is linear and our result holds on any sufficiently regular mesh made of general polyhedral elements. Finally, we present numerical experiments to confirm our theoretical results.
Funder
US National Science Foundation
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Computational Mathematics,General Mathematics
Cited by
3 articles.
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