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Robust Estimates for hp-Adaptive Approximations of Non-Self-Adjoint Eigenvalue Problems
Mathematics and Statistics Faculty Publications and Presentations
  • Stefano Giani, Durham University
  • Luka Grubišić, University of Zagreb
  • Agnieszka Międlar, Technische Universität Berlin
  • Jeffrey S. Ovall, Portland State University
Document Type
Publication Date
  • Eigenvalues,
  • Nonselfadjoint operators,
  • Spectral theory (Mathematics)
We present new residual estimates based on Kato’s square root theorem for spectral approximations of 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.

This is the pre-print version of an article which was subsequently published in Numerische Mathematik. Copyright (2015) and located online at:

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Citation Information
Stefano Giani, Luka Grubišić, Agnieszka Międlar and Jeffrey S. Ovall. "Robust Estimates for hp-Adaptive Approximations of Non-Self-Adjoint Eigenvalue Problems" (2015)
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