Benchmark results for testing adaptive finite element eigenvalue procedures

Giani, S.; Grubisic, L.; Ovall, J.

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., Grubisic, L., & Ovall, J. (2012). Benchmark results for testing adaptive finite element eigenvalue procedures. Applied Numerical Mathematics, 62(2), 121-140. https://doi.org/10.1016/j.apnum.2011.10.007

• Journal Article Type: Article
• Publication Date: 2012-02
• Deposit Date: Feb 12, 2013
• Journal: Applied Numerical Mathematics
• Print ISSN: 0168-9274
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 62
• Issue: 2
• Pages: 121-140
• DOI: https://doi.org/10.1016/j.apnum.2011.10.007
• Public URL: https://durham-repository.worktribe.com/output/1497396