Robust estimates for hp-adaptive approximations of non-self-adjoint eigenvalue problems

Please always quote using this URN:urn:nbn:de:0296-matheon-12105
  • We present new residual estimates based on Kato's square root theorem for spectral approximations of diagonalizable non-self-adjoint differential operators of convection-diffusion-reaction type. These estimates are incorporated as part of an hp-adaptive finite element algorithm for practical spectral computations, where it is shown that the resulting a posteriori error estimates are reliable. Provided experiments demonstrate the efficiency and reliability of our approach.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Stefano Giani, Luka Grubišić, Agnieszka Międlar, Jeffrey S. Ovall
URN:urn:nbn:de:0296-matheon-12105
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2013/05/06
Release Date:2013/05/06
Tag:a posteriori error estimates; convection-diffusion-reaction operator; eigenvalue problem; finite element method; hp-adaptive mesh refinement; non-self-adjoint operator
Institute:Research Center Matheon
Technische Universität Berlin
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N15 Error bounds
65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N25 Eigenvalue problems
65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Preprint Number:1008
Verstanden ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.