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Numerical analysis of a PML model for time-dependent Maxwell’s equations

✍ Scribed by Yunqing Huang; Jichun Li

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
284 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

Mixed finite element method Perfectly matched layer a b s t r a c t

In this paper, we study a perfectly matched layer model for the three-dimensional timedependent Maxwell's equations. We develop both semi-and fully-discrete finite element methods for solving the truncated PML problem by Nedelec edge elements. Optimal convergence rates are proved for both semi-and fully-discrete schemes. To our knowledge, this is the first error analysis obtained for time domain finite element method for PML models.

📜 SIMILAR VOLUMES

Optimal symplectic integrators for numer
Optimal symplectic integrators for numerical solution of time-domain Maxwell's equations
✍ Z. X. Huang; X. L. Wu; W. Sha; M. S. Chen 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 177 KB

## Abstract Optimal symplectic integrators were proposed to improve the accuracy in numerical solution of time‐domain Maxwell's equations. The proposed symplectic scheme has almost the same stability and numerical dispersion as the mostly used fourth‐order symplectic scheme, but acquires more effic