Error Estimates for Dissipative Evolution Problems [chapter]

Giuseppe Savaré
2003 Free Boundary Problems  
We present a quick overview of the general problem to find optimal a priori and a posteriori error estimates for the approximation of dissipative evolution equations in Hilbert and metric spaces by means of a variational formulation of the implicit Euler scheme. We shall discuss what are the intrinsic metric arguments which are involved in the derivation of the estimates and we present an elementary proof in a simplified finite dimensional case. An application to the porous medium equation in
more » ... e new framework of the Wasserstein distance is briefly sketched.
doi:10.1007/978-3-0348-7893-7_22 fatcat:abweivfwnfhvdlaomcaarjhyey