Title: Finite Element Method on the Sphere Location: Building 915, Room S101 (Sandia-CA) Brief Abstract: The numerical approximation of partial differential equations on the sphere has been an attractive subject of late. We study the model problem −_u = f(x, y) where u(x, y) = g(x, y) on the boundary of the domain. Here the domain is the unit disc. In our research, we generate the FEM on the unit disc, by mapping the unit square to the domain with the radial projection. We introduce these mapped finite elements on the unit disc as “radially projected finite elements” We discuss the approximation properties of radially projected finite elements on the unit disc and the sphere. CSRI POC: Monica Martinez-Canales, (925) 294-3157 |