Open AccessMulticlass multistep discontinuous Galerkin discretisation for multiscale electromagnetic wave propagation simulations
Author(s) -
Souza Fidel,
Mesquita Renato C.,
Silva Elson J.
Publication year - 2019
Publication title -
iet science, measurement and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 49
eISSN - 1751-8830
pISSN - 1751-8822
DOI - 10.1049/iet-smt.2018.5009
Subject(s) - discretization , discontinuous galerkin method , galerkin method , mathematics , wave propagation , computer science , runge–kutta methods , stability (learning theory) , formalism (music) , mathematical optimization , numerical analysis , algorithm , mathematical analysis , finite element method , physics , machine learning , art , musical , quantum mechanics , visual arts , thermodynamics
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.