Robust Estimates for hp-Adaptive Approximations of Non-Self-Adjoint Eigenvalue Problems
Stefano Giani, Luka Grubišić, Agnieszka Międlar, Jeffrey S. Ovall · PDXScholar (Portland State University) · 2015
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.