4 papers
Adaptive least-squares space-time finite element methods for convection-diffusion problems
Christian Köthe, Olaf Steinbach
In this paper we formulate and analyse adaptive (space-time) least-squares finite element methods for the solution of convection-diffusion equations. The convective derivative $\ma…
A unified framework for the analysis, numerical approximation and model reduction of linear operator equations, Part I: Well-posedness in space and time
Moritz Feuerle, Richard Löscher, Olaf Steinbach +1
We present a unified framework to construct well-posed formulations for large classes of linear operator equations including elliptic, parabolic and hyperbolic partial differential…
State-based approach to the numerical solution of Dirichlet boundary optimal control problems for the Laplace equation
Ulrich Langer, Richard Löscher, Olaf Steinbach +1
We investigate the Dirichlet boundary control of the Laplace equation, considering the control in , which is the natural space for Dirichlet data when the stat…
State-based nested iteration solution of optimal control problems with PDE constraints
Ulrich Langer, Richard Löscher, Olaf Steinbach +1
We consider an abstract framework for the numerical solution of optimal control problems (OCPs) subject to partial differential equations (PDEs). Examples include not only the dist…