(A) mixed method on random element

Abstract

Mixed element method is very important and powerful method in pressure element method. I studied this method on two dimensional Raviart-Thomas space and with quadrilateral grid. At first I introduce problems we shall solve, explain basic preliminaries and how to set grid. Next use programming, approximate the value and check the numerical error. Futhermore, when the shape of the grid changes randomly, I checked whether convergence property still be preserved.