Abstract |
\(C^0\) interior penalty methods are discontinuous Galerkin methods for
fourth order problems. In this talk I will discuss the advantages of
\(C^0\) interior penalty methods over classical finite element methods and
introduce a framework for their analysis that is applicable to both fourth
order elliptic boundary value problems and elliptic variational
inequalities. I will present the results of two applications of \(C^0\)
interior penalty methods to nonlinear problems: the von Karman model for
plate buckling and the obstacle problem for the bending of Kirchhoff
plates.
|
For future talks or to be added to the mailing list: www.math.uh.edu/colloquium