Benchmark results for testing adaptive finite element eigenvalue procedures

Giani, Stefano; Grubi�i?, Luka; Ovall, Jeffrey

Abstract

A discontinuous Galerkin method, with hp-adaptivity based on the approximate solution of appropriate dual problems, is employed for highly-accurate eigenvalue
computations on a collection of benchmark examples. After demonstrating the effectivity
of our computed error estimates on a few well-studied examples, we present results for several examples in which the coefficients of the partial-differential operators are discontinuous.
The problems considered here are put forward as benchmarks upon which other adaptive
methods for computing eigenvalues may be tested, with results compared to our own.

Citation

Giani, S., Grubišić, L., & Ovall, J. Benchmark results for testing adaptive finite element eigenvalue procedures. Manuscript submitted for publication

• Journal Article Type: Article
• Deposit Date: Feb 14, 2011
• Peer Reviewed: Not Peer Reviewed
• Public URL: https://nottingham-repository.worktribe.com/output/1010705