Numerical Analysis Seminars: Applications of nondivergence finite element methods to fully nonlinear PDEs
15 February 2013 14:00 in CM105
We present a finite element method for some examples of fully nonlinear elliptic equations, in particular, the Monge--Ampere equation, Pucci's equation and the Infinity Laplacian. A key tool is the discretisation proposed in Lakkis & Pryer (2011) allowing us to work directly on the strong form of a linear nonvariational PDE. An added benefit to making use of this discretisation method is that a recovered (finite element) Hessian is a biproduct of the solution process.
Contact David.Bourne@durham.ac.uk for more information