Free Access
Issue |
ESAIM: M2AN
Volume 49, Number 3, May-June 2015
|
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Page(s) | 839 - 854 | |
DOI | https://doi.org/10.1051/m2an/2014058 | |
Published online | 08 April 2015 |
- E. Bécache and P. Joly, On the analysis of Bérenger’s perfectly matched layers for Maxwell’s equations. ESAIM: M2AN 36 (2002) 87–119. [CrossRef] [EDP Sciences] [Google Scholar]
- J.-P. Bérenger, A perfectly matched layer for the absorption of electromagnetic waves. J. Comput. Phys. 114 (1994) 185-200. [Google Scholar]
- J.-P. Bérenger, Perfectly Matched Layer (PML) for Computational Electromagnetics. Vol. 2 of Synthesis Lectures on Computational Electromagnetics. Morgan Claypool (2007). [Google Scholar]
- H. Banks and B. Browning, Time domain electromagnetic scattering using finite elements and perfectly matched layers. Comput. Methods. Appl. Mech. Eng. 194 (2005) 149–168. [CrossRef] [Google Scholar]
- G. Bao and H. Wu, Convergence analysis of the perfectly matched layer problems for time harmonic Maxwell’s equations. SIAM J. Numer. Anal. 43 (2005) 2121–2143. [CrossRef] [Google Scholar]
- Y. Botros and J. Volakis, Preconditioned generalized minimal residual iterative scheme for perfectly matched layer terminated applications. IEEE Microw. Guided Wave Letters 9 (1999) 45–47. [CrossRef] [Google Scholar]
- Y. Botros and J. Volakis, Perfectly matched layer termination for finite-element meshed: Implementation and application, Microwave. Optim. Tech. Lett. 23 (1999) 166–172. [CrossRef] [Google Scholar]
- J. Bramble and J. Pasciak, Analysis of a cartesian PML approximation to the three dimensional electromagnetic wave scattering problem, Int. J. Numer. Anal. Model. 9 (2012) 543–561. [Google Scholar]
- J. Chen and Z. Chen, An adaptive perfectly matched layer technique for 3-D time harmonic electromagnetic scattering problems. Math. Comput. 77 (2008) 673–698. [CrossRef] [Google Scholar]
- J. Chen, Z. Chen, T. Cui and L. Zhang, An Adaptive Finite Element Method for the Eddy Current Model with Circuit/Field Couplings, SIAM J. Sci. Comput. 32 (2010) 1020–1042. [CrossRef] [Google Scholar]
- Z. Chen, T. Cui and L. Zhang, An adaptive anisotropic perfectly matched layer method for 3-D time harmonic electromagnetic scattering problems, Numer. Math. 125 (2013) 639–677. [CrossRef] [MathSciNet] [Google Scholar]
- W. Chew and W. Weedon, A 3d perfectly matched medium for modified Maxwell’s equations with streched coordinates. Microwave Opt. Technol. Lett. 13 (1994) 599–604. [Google Scholar]
- R. Hiptmair, Multigrid method for Maxwell’s equations. SIAM J. Numer. Anal. 36 (1998) 204–225. [CrossRef] [Google Scholar]
- R. Hiptmair and J. Xu, Nodal auxiliary spaces preconditions in H(curl) and H(div) spaces. SIAM J. Numer. Anal. 45 (2007) 2483–2509. [CrossRef] [MathSciNet] [Google Scholar]
- Q. Hu and J. Zou, Substructuring preconditioners for saddle-point problems arising from Maxwell’s equations in three dimensions. Math. Comput. 73 (2004) 35–61. [CrossRef] [Google Scholar]
- E. Post, Formal Structure of Electromagnetics: General Covariance and Electromagnetics. Dover (1997). [Google Scholar]
- Wonseok Shin and Shanhui Fan, Choice of the perfectly matched layer boundary condition for frequency-domain Maxwell’s equations solvers. J. Comput. Phys. 231 (2012) 3406–3431. [CrossRef] [Google Scholar]
- F. L. Teixeira and W. C. Chew, Differential forms, metrics, and the reflectionless absorption of electromagnetic waves. J. Electromagn. Waves Appl. 13 (1999) 665–686. [CrossRef] [MathSciNet] [Google Scholar]
- A. Toselli, Overlapping Schwarz methods for Maxwell’s equations in three dimensions. Numer. Math. 86 (2000) 733–752. [CrossRef] [MathSciNet] [Google Scholar]
- A. Toselli, O. Widlund and B. Wohlmuth, An iterative substructuring method for Maxwell’s equations in two dimensions. Math. Comput. 70 (2001) 935–947. [CrossRef] [Google Scholar]
- P. Tsuji, B. Engquist and L. Ying, A sweeping preconditioner for time-harmonic Maxwell’s equations with finite elements. J. Comput. Phys. 231 (2012) 3770–3783. [CrossRef] [Google Scholar]
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