9/11/2022 Friday 9h45 to 10h10
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.