Error control for hp-adaptive approximations of semi-definite eigenvalue problems

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

Abstract

We present reliable a-posteriori error estimates for hp-adaptive finite element approximations of semi-definite eigenvalue/eigenvector problems. Our model problems are motivated by the applications in photonic crystal eigenvalue computations. We present detailed numerical experiments confirming our theory and give several benchmark results which could serve the purpose of numerical testing of other adaptive procedures.

Citation

Giani, S., Grubišić, L., & Ovall, J. Error control for hp-adaptive approximations of semi-definite eigenvalue problems. Manuscript submitted for publication

• Journal Article Type: Article
• Deposit Date: May 15, 2012
• Peer Reviewed: Not Peer Reviewed
• Public URL: https://nottingham-repository.worktribe.com/output/1008735
• Additional Information: Preprint of an article submitted to Linear Algebra and its Applications