Guaranteed and sharp a posteriori error estimates in isogeometric analysis

Dr. Satyendra K. Tomar

Oct. 29, 2013, 12:45 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.