|Date:||Mon, March 28, 2011|
|Place:||Research II Lecture Hall|
Abstract: In the first part of the talk, error estimates for polynomial interpolation on tensor product grids are discussed. In contrast to univariate interpolation, constants may grow unboundedly as the spacing between interpolation points tends to zero.
In the second part of the talk, we present Bramble-Hilbert-type results for a large class of domains which are bounded by diffeomorphic images of graphs. Constants and approximating polynomials are specified explicitly.