Overview of finite element methods for linear hyperbolic problems

Friday, June 28, 2002 - 10:05am - 10:35am
Keller 3-180
Richard Falk (Rutgers, The State University Of New Jersey )
Finite element approximation methods are described for model hyperbolic problems. These include the wave equation written as a second order scalar problem and also as a first order system. The talk emphasizes the derivation of approximation schemes which preserve discrete versions of important properties of the partial differential equation. These properties are often very useful in establishing stability and error estimates for the approximation scheme.