Special Colloquium
Gerard Awanou
Northern Illinois University
New and Old Rectangular Mixed Finite Elements
Abstract: In recent years, the concept of structure preserving
discretization has taken a prominent role in the design and analysis of
numerical methods for partial differential equations. Using differential
complexes and the structure revealed by the finite element exterior
calculus, we found canonical H(div) and H(curl) finite elements on
rectangular meshes.
The new elements with the serendipity elements form a discrete version of
the de Rham complex. For the latter, we give a dimension independent
definition.
Differential complexes are combined through the Arnold-Falk-Winther
construction to obtain new rectangular elements for elasticity with weakly
imposed symmetry condition.
The new rectangular elements are compared with some older elements.
Wednesday January 11, 2012 at 3:00 PM in SEO 636