Elliptic Equations on Polyhedral Domains
Friday, May 29, 2015 - 2:00pm - 2:50pm
I discuss well-posedness and regularity for strongly elliptic, linear systems, like the system of elasticity, on polyhedral domains using weighted Sobolev spaces. The domain need not be convex and can have curvilinear sides. If time permits, I will discuss how the regularity estimates for the solution can be used to study convergence of the Finite Element Method, a widely used numerical method to solve PDEs.