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C0IPG for a Fourth Order Eigenvalue Problem
Part of
- Partial differential equations, boundary value problems
Xia Ji, Hongrui Geng, Jiguang Sun, Liwei Xu
Journal:

Communications in Computational Physics / Volume 19 / Issue 2 / February 2016

Published online by Cambridge University Press:

01 February 2016, pp. 393-410

Print publication:

February 2016
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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.

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C0IPG for a Fourth Order Eigenvalue Problem