TY - GEN A1 - Giani, Stefano A1 - Grubišić, Luka A1 - Międlar, Agnieszka A1 - Ovall, Jeffrey S. T1 - Robust estimates for hp-adaptive approximations of non-self-adjoint eigenvalue problems N2 - 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. KW - hp-adaptive mesh refinement KW - finite element method KW - a posteriori error estimates KW - eigenvalue problem KW - non-self-adjoint operator KW - convection-diffusion-reaction operator Y1 - 2013 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1210 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-12105 ER -