Speaker
Christian Kahle
Description
We consider a least squares formulation of a linear parabolic equation in spaces with natural regularity. As a consequence the formulation contains the Riesz isomorphism. The discrete approach uses space-time finite elements and a suitable approximation of the Riesz isomorphism. Using finite elements that are separable with respect to space and time,the final fully discrete representation has the form of a generalized Lyapunov equation. The numerical solution of this systems requires a tailored approach.
