Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 333, Issue -, Pages 157-169Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2017.10.036
Keywords
Maxwell's equations; Perfectly matched layer; Discontinuous Galerkin method; Metamaterials; Wave propagation
Categories
Funding
- Nature Science Foundation of China (NSFC) Key Project [91430213]
- NSFC [11401422, 11671340]
- National Science Foundation [DMS-1416742]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1416742] Funding Source: National Science Foundation
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The perfectly matched layer (PML) is a technique initially proposed by Berenger for solving unbounded electromagnetic problems with the finite-difference time-domain method. In this work, we first formulate an equivalent PML model from the original Berenger PML model in the corner region, and then establish its stability. We further develop a discontinuous Galerkin method to solve this PML model, and discrete stability similar to the continuous case is proved. To demonstrate the absorbing property of this PML model, we apply it to simulate wave propagation in metamaterials. (C) 2017 Elsevier B.V. All rights reserved.
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