  This paper is concerned with 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 yields an a priori discretization error estimate
with respect to the discrete norm. Finally, we confirm the theoretical results
with numerical experiments in spatial moving domains to confirm the theory
presented.
