Guaranteed and sharp a posteriori error estimates in isogeometric analysis

Dr. Satyendra K. Tomar

Oct. 29, 2013, 1:45 p.m. S2 059

In this talk functional-type a posteriori error estimates will be
presented for isogeometric discretization of elliptic problems. These
estimates, derived on functional grounds, provide guaranteed and sharp
upper bounds of the exact error in the energy norm. Moreover, since
these estimates do not contain any unknown/generic constants, they are
fully computable, and thus provide quantitative information on the
error. Efficient computation of these error estimates by exploiting the
properties of non-uniform rational B-splines will be discussed. The
numerical realization and the quality of the computed error distribution
will be addressed. The potential and the limitations of the proposed
approach will be illustrated using several computational examples.