کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4640034 | 1341258 | 2010 | 20 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Explicit local time-stepping methods for Maxwell’s equations Explicit local time-stepping methods for Maxwell’s equations](/preview/png/4640034.png)
Explicit local time-stepping methods are derived for time dependent Maxwell equations in conducting and non-conducting media. By using smaller time steps precisely where smaller elements in the mesh are located, these methods overcome the bottleneck caused by local mesh refinement in explicit time integrators. When combined with a finite element discretisation in space with an essentially diagonal mass matrix, the resulting discrete time-marching schemes are fully explicit and thus inherently parallel. In a non-conducting source-free medium they also conserve a discrete energy, which provides a rigorous criterion for stability. Starting from the standard leap-frog scheme, local time-stepping methods of arbitrarily high accuracy are derived for non-conducting media. Numerical experiments with a discontinuous Galerkin discretisation in space validate the theory and illustrate the usefulness of the proposed time integration schemes.
Journal: Journal of Computational and Applied Mathematics - Volume 234, Issue 12, 15 October 2010, Pages 3283–3302