Abstract

The classical numerical methods for the simulation of wave propagation phenomena in multiscale systems can demand an unnecessary computational cost. This study proposes a multiclass strategy to be applied to the linear multistep time integration methods in the formalism of the discontinuous Galerkin (DG) space discretisation. The multiclass scheme is applied specifically to linear multistep strong stability preserving method (SSPMS). The potential of this strategy is demonstrated by numerical tests applied to two electromagnetic problems. The results show that the proposed schemes promote a significant improvement compared with the standard SSPMS and the fourth-order Runge-Kutta. Furthermore, in order to obtain a real speed up, this study presents a class parameter that produces a previous knowledge to determine the number of classes.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.