Friday, November 5

Recent Advances in Macro-Element Methods for Scattered Data

9:15 AM-10:00 AM
Room: Rio Grande Ballroom
Chair: Joe Warren, Rice University

It is well-known that splines on triangulations are very useful tools for fitting functions based on scattered data. Here we are interested in local methods where the polynomial pieces of a spline are determined one triangle at a time, using only local data. Such methods are called macro-element methods. In this presentation, the speaker will show how Bernstein-Bézier techniques can be used to describe and analyze macro-element methods, and how recent tools developed for polynomial splines can be applied to create new and improved macro-elements with various degrees of smoothness.

Larry L. Schumaker
Department of Mathematics
Vanderbilt University


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Created TJF, 5/20/99; Last Updated MMD, 6/21/99