C0IPG for a Fourth Order Eigenvalue Problem

Authors

Xia Ji, Chinese Academy of Sciences
Hongrui Geng, Chongqing University
Jiguang Sun, Michigan Technological UniversityFollow
Liwei Xu, Chongqing University

Document Type

Article

Publication Date

2-1-2016

Department

Department of Mathematical Sciences

Abstract

This paper concerns numerical computation of a fourth order eigenvalue problem. We first show the well-posedness of the source problem. An interior penalty discontinuous Galerkin method (C0IPG) using Lagrange elements is proposed and its convergence is studied. The method is then used to compute the eigenvalues. We show that the method is spectrally correct and prove the optimal convergence. Numerical examples are presented to validate the theory.

Publisher's Statement

© Copyright 2016 Global-Science Press. Publisher’s version of record: https://doi.org/10.4208/cicp.131014.140715a

Publication Title

Communications in Computational Physics

Recommended Citation

Ji, X., Geng, H., Sun, J., & Xu, L. (2016). C0IPG for a Fourth Order Eigenvalue Problem. Communications in Computational Physics, 19(2), 393-410. http://doi.org/10.4208/cicp.131014.140715a
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/14242