4 papers
A class of port-Hamiltonian systems with general time delays
Rogelio Arancibia Bustos, Bálint Farkas, Birgit Jacob +1
We define a class of infinite dimensional linear port-Hamiltonian delay systems, give a characterization for such systems, and provide an easily verifiable sufficient condition to…
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…
Operator splitting based dynamic iteration for linear infinite-dimensional port-Hamiltonian systems
Bálint Farkas, Birgit Jacob, Timo Reis +1
A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is proposed. The dynamic iteration is monotone in the sense that the error is decreasing, it doe…
On exponential splitting methods for semilinear abstract Cauchy problems
Bálint Farkas, Birgit Jacob, Merlin Schmitz
Due to the seminal works of Hochbruck and Ostermann exponential splittings are well established numerical methods utilizing operator semigroup theory for the treatment of semilinea…