کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8901887 | 1631949 | 2018 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshes
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshes Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshes](/preview/png/8901887.png)
چکیده انگلیسی
In this follow-up work, we extend the discontinuous Galerkin (DG) methods previously developed on rectangular meshes (Li et al., 2017) to triangular meshes. The DG schemes in Li et al. (2017) are both optimally convergent and energy conserving. However, as we shall see in the numerical results section, the DG schemes on triangular meshes only have suboptimal convergence rate. We prove the energy conservation and an error estimate for the semi-discrete schemes. The stability of the fully discrete scheme is proved and its error estimate is stated. We present extensive numerical results with convergence consistent of our error estimate, and simulations of wave propagation in Drude metamaterials to demonstrate the flexibility of triangular meshes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 342, November 2018, Pages 147-163
Journal: Journal of Computational and Applied Mathematics - Volume 342, November 2018, Pages 147-163
نویسندگان
Cengke Shi, Jichun Li, Chi-Wang Shu,