A non-Overlapping Time Domain Decomposition Method

Nowadays, electromagnetic performance analysis is an integral part of electric and electronic systems development and must be considered during the design phase of the studied systems. Numerous electromagnetic numerical tools exist to solve these systems. However, the complexity of the phenomena to be solved translated by the multitude of scales and numerical methods remains an issue. On the other hand, domain decomposition (DD) methods allow solving a complex problem by breaking it into simpler sub-problems [1]. Generally, the most suitable numerical method is applied to each sub-domain. The global solution is retrieved based on the partial solution of each sub-model through interface conditions. However, most existing methods are in the frequency domain with overlapping interfaces. In the time domain, methods such as temporal hybridization are synchronous and share numerical models [2]. In this work, we rely on [3] to use a temporal domain decomposition method allowing fully asynchronous simulations of the sub-systems while preserving the confidentiality of the numerical models.