4 papers · 1 filter
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…
Structure-Preserving Operator Splitting via JR-Decomposition for Circuit Models
Andreas Bartel, Malak Diab
We investigate circuit models, namely, modified nodal analysis (MNA) in the port-Hamiltonian framework. Based on this, the JR-decomposition for the numerical treatment would offer…
Goal-Oriented Time Adaptivity for Linear Port-Hamiltonian Differential-Algebraic Equations of Index~1
Aashutosh Sharma, Andreas Bartel, Manuel Schaller
Port-Hamiltonian systems provide a highly-structured framework for modeling of physical systems. By definition, they encode a balance equation relating energy changes to supplied a…
Goal-oriented time adaptivity for port-Hamiltonian systems
Andreas Bartel, Manuel Schaller
Port-Hamiltonian systems provide an energy-based modeling paradigm for dynamical input-state-output systems. At their core, they fulfill an energy balance relating stored, dissipat…