Spectral approximations by the HDG method

We consider the numerical approximation of the spectrum of a second-order elliptic eigenvalue problem by the hybridizable discontinuous Galerkin (HDG) method. We show for problems with smooth eigenfunctions that the approximate eigenvalues and eigenfunctions converge at the rate 2k+1 and k+1, respec...

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Bibliographic Details
Main Authors: Li, Fengyan, Gopalakrishnan, Jay, Peraire, Jaime, Nguyen, Ngoc Cuong
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Format: Article
Language:en_US
Published: American Mathematical Society (AMS) 2017
Online Access:http://hdl.handle.net/1721.1/107272
https://orcid.org/0000-0002-8556-685X