9/11/2022 Friday  9h45 to 10h10

Stephen Moore



university of cape coast


A stable space–time finite element method for parabolic evolution problems 

 In this talk, we present the analysis of a new stable space–time finite element method (FEM) for the numerical solution of parabolic evolution problems in moving spatial computational domains. The discrete bilinear form is elliptic on the FEM space with respect to a discrete energy norm. This property together with a corresponding boundedness property, consistency and approximation results for the FEM spaces yield an a priori discretization error estimate with respect to the discrete norm. Finally, using FreeFem++, we confirm the theoretical results with numerical experiments in spatial moving domains.