C0IPG for a non-standard fourth order eigenvalue prob- lem
نویسندگان
چکیده
This paper concerns numerical computation of a non-standard fourth order eigenvalue problem. For high order problems, Discontinuous Galerkin methods are competitive since they avoid some difficulties arising from other approaches. We show the well-posedness of the source problem. An interior penalty discontinuous Galerkin method using Lagrange elements (C0IPG) 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. AMS subject classifications: 65N25, 65N30, 65N22
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