1 citations · 1 across the 4 of their papers we have counts for
6 papers
Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications
Bin Gao, Nguyen Thanh Son, Tatjana Stykel
Numerous problems in optics, quantum physics, stability analysis, and control of dynamical systems can be brought to an optimization problem with matrix variable subjected to the s…
Analysis of a quasilinear coupled magneto-quasistatic model: solvability and regularity of solutions
Ralph Chill, Timo Reis, Tatjana Stykel
We consider a~quasilinear model arising from dynamical magnetization. This model is described by a~magneto-quasistatic (MQS) approximation of Maxwell's equations. Assuming that the…
Passivity, Port-Hamiltonian Formulation and Solution Estimates for a Coupled Magneto-Quasistatic System
Timo Reis, Tatjana Stykel
We study a~quasilinear coupled magneto-quasistatic model from a~systems theoretic perspective.} First, by taking the injected voltages as input and the associated currents as outpu…
Geometry of the symplectic Stiefel manifold endowed with the Euclidean metric
Bin Gao, Nguyen Thanh Son, P. -A. Absil +1
The symplectic Stiefel manifold, denoted by , is the set of linear symplectic maps between the standard symplectic spaces and $\mathbb{R}^{2n}…
Balanced truncation for parametric linear systems using interpolation of Gramians: a comparison of algebraic and geometric approaches
Nguyen Thanh Son, Pierre-Yves Gousenbourger, Estelle Massart +1
When balanced truncation is used for model order reduction, one has to solve a pair of Lyapunov equations for two Gramians and uses them to construct a reduced-order model. Althoug…
Balanced truncation model reduction for 3D linear magneto-quasistatic field problems
Johanna Kerler-Back, Tatjana Stykel
We consider linear magneto-quasistatic field equations which arise in simulation of low-frequency electromagnetic devices coupled to electrical circuits. A finite element discretiz…