Isogeometric Analysis: Approximation properties for B-splines with maximal smoothness

Dr. Stefan Takacs

Jan. 13, 2015, 3:30 p.m. S2 059

In this talk, an approximation error estimate for B-splines with maximal smoothness p-1, which is robust in the polynomial degree p, will be presented. This complements known results, cf. [da Veiga, Buffa, Rivas, Sangalli 2011], which are restricted to smoothness up to (p+1)/2. The extension of the analysis to high smoothness is important for isogeometric analysis because there such splines are typically used. The main steps of the proof will be discussed in the talk. Moreover, the speaker will provide an inverse inequality which is complementary to the apporximation error estimate. This shows that the approximation error estimate is sharp.