3 papers
math.NA2026
Splitting Schemes for ODEs with Goal-Oriented Error Estimation
Erik Weyl, Andreas Bartel, Manuel Schaller
We present a hybrid a-priori/a-posteriori goal oriented error estimator for a combination of dynamic iteration-based solution of ordinary differential equations discretized by fini…
math.NA2025
Iterative solvers for partial differential equations with dissipative structure: Operator preconditioning and optimal control
Volker Mehrmann, Manuel Schaller, Martin Stoll
This work considers the iterative solution of large-scale problems subject to non-symmetric matrices or operators arising in discretizations of (port-)Hamiltonian partial different…
math.OC2025
Dissipativity-based time domain decomposition for optimal control of hyperbolic PDEs
Bálint Farkas, Birgit Jacob, Manuel Schaller +1
We propose a time domain decomposition approach to optimal control of partial differential equations (PDEs) based on semigroup theoretic methods. We formulate the optimality system…