Operator splitting based dynamic iteration for linear infinite-dimensional port-Hamiltonian systems
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Abstract
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 does not require any stability condition and is in particular applicable to port-Hamiltonian formulations arising from domain decompositions.Keywords
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This publication has 27 references indexed in Scilit:
- Dynamic iteration schemes and port-Hamiltonian formulation in coupled differential-algebraic equation circuit simulationInternational Journal of Circuit Theory and Applications, 2021
- Introduction to Infinite-Dimensional Systems Theory2020
- Operator splitting for dissipative delay equationsSemigroup Forum, 2016
- Nonlinear Differential Equations of Monotone Types in Banach Spaces2010
- Observation and Control for Operator Semigroups2009
- Implementing Spectral Methods for Partial Differential Equations2009
- Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations2003
- Passive and Conservative Continuous-Time Impedance and Scattering Systems. Part I: Well-Posed SystemsMathematics of Control, Signals, and Systems, 2002
- Higher-Order Numerical Methods for Transient Wave Equations2002
- One-Parameter Semigroups for Linear Evolution Equations2000