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 system requires a taylored approach. Finally we discuss the use of reduced basis methods for our problem.
Authors
Christian Kahle
Michael Hinze
Michael Stahl
