Adaptive finite element methods

Monday, November 29, 2010 - 8:45am - 10:15am
Keller 3-180
Ricardo Nochetto (University of Maryland)
Adaptivity is an essential tool in modern scientific and
engineering computation that allows one to optimize the
computational effort by locating the degrees of freedom where
they are most needed, that is in regions of rapid solution
variation. Adaptive finite element methods (AFEM) are the most
popular and effective numerical methods to solve elliptic PDE,
and are driven by a posteriori error estimators. In this tutorial
we will discuss the basic structure of AFEM and its main
properties, analyze its convergence (contraction property), and
derive convergence rates.
MSC Code: