Structure-Preserving Operator Splitting via JR-Decomposition for Circuit Models
For researchers in circuit simulation and numerical methods, this provides a tailored decomposition to overcome restrictions of standard JR-decomposition, enabling structure-preserving splitting for MNA models.
The paper introduces an enhanced JR-decomposition for circuit models in the port-Hamiltonian framework, enabling energy-conforming operator splitting for modified nodal analysis (MNA). A numerical example demonstrates convergence and structure preservation.
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 an energy conform splitting. However, for circuit models, the application of the standard JR-decomposition is restricted. To enable a JR-decomposition for MNA, we need to relax the decomposition. To this end, we introduce the enhanced JR-decomposition, which is particularly tailored to the application to circuits. We conclude with a numerical example that illustrates the applicability of the proposed approach as well as its convergence and structure-preserving properties.