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Review and Recent Developments on the Perfectly Matched Layer (PML) Method for the Numerical Modeling and Simulation of Elastic Wave Propagation in Unbounded Domains
Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation
Daniel H. Baffet, Marcus J. Grote, Sébastien Imperiale and Maryna Kachanovska Journal of Scientific Computing 81(3) 2237 (2019) https://doi.org/10.1007/s10915-019-01089-9
Nobody's Perfect; Matched Layers for Heterogeneous Media
Laurence Halpern, Ludovic Métivier, Jeffrey Rauch and Juliette Ryan SIAM Journal on Scientific Computing 41(1) A1 (2019) https://doi.org/10.1137/17M1114752
Complex frequency‐shifted multi‐axial perfectly matched layer for frequency‐domain seismic wavefield simulation in anisotropic media
Discontinuous Galerkin discretizations of the Boltzmann–BGK equations for nearly incompressible flows: Semi-analytic time stepping and absorbing boundary layers
Mathematical Foundations of Computational Electromagnetism
Franck Assous, Patrick Ciarlet and Simon Labrunie Applied Mathematical Sciences, Mathematical Foundations of Computational Electromagnetism 198 1 (2018) https://doi.org/10.1007/978-3-319-70842-3_1
Mathematical Foundations of Computational Electromagnetism
Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: necessary and sufficient conditions of stability
Eliane Bécache and Maryna Kachanovska ESAIM: Mathematical Modelling and Numerical Analysis 51(6) 2399 (2017) https://doi.org/10.1051/m2an/2017019
Select Advances in Computational Accelerator Physics
John R. Cary, Dan T. Abell, George I. Bell, et al. IEEE Transactions on Nuclear Science 63(2) 823 (2016) https://doi.org/10.1109/TNS.2015.2500686
A. Fedoseyev, E. J. Kansa, S. Tsynkov, S. Petropavlovskiy, M. Osintcev, U. Shumlak and W. D. Henshaw 1773 020001 (2016) https://doi.org/10.1063/1.4964955
The Role of Numerical Boundary Procedures in the Stability of Perfectly Matched Layers
Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
Jichun Li and Yunqing Huang Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 151 (2013) https://doi.org/10.1007/978-3-642-33789-5_5
Modeling Backward Wave Propagation in Metamaterials by the Finite Element Time-Domain Method
A modified and stable version of a perfectly matched layer technique for the 3-d second order wave equation in time domain with an application to aeroacoustics
Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
Jichun Li and Yunqing Huang Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 127 (2013) https://doi.org/10.1007/978-3-642-33789-5_4
Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
Jichun Li and Yunqing Huang Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 215 (2013) https://doi.org/10.1007/978-3-642-33789-5_8
A Krylov Stability-Corrected Coordinate-Stretching Method to Simulate Wave Propagation in Unbounded Domains
Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
Jichun Li and Yunqing Huang Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 241 (2013) https://doi.org/10.1007/978-3-642-33789-5_9
Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
Jichun Li and Yunqing Huang Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 195 (2013) https://doi.org/10.1007/978-3-642-33789-5_7
Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
Jichun Li and Yunqing Huang Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 1 (2013) https://doi.org/10.1007/978-3-642-33789-5_1
Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
Jichun Li and Yunqing Huang Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 53 (2013) https://doi.org/10.1007/978-3-642-33789-5_3
Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
Jichun Li and Yunqing Huang Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 173 (2013) https://doi.org/10.1007/978-3-642-33789-5_6
Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
Jichun Li and Yunqing Huang Springer Series in Computational Mathematics, Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials 43 19 (2013) https://doi.org/10.1007/978-3-642-33789-5_2
On the Accuracy and Stability of the Perfectly Matched Layer in Transient Waveguides
An Iterative Two-Grid Method of A Finite Element PML Approximation for the Two Dimensional Maxwell Problem
Chunmei Liu, Shi Shu, Yunqing Huang, Liuqiang Zhong and Junxian Wang Advances in Applied Mathematics and Mechanics 4(2) 175 (2012) https://doi.org/10.4208/aamm.10-m11166
An elementary introduction to the construction and the analysis of perfectly matched layers for time domain wave propagation
Perfectly Matched Layers for Time-Harmonic Second Order Elliptic Problems
A. Bermúdez, L. Hervella-Nieto, A. Prieto and R. Rodríguez Archives of Computational Methods in Engineering 17(1) 77 (2010) https://doi.org/10.1007/s11831-010-9041-6
Discontinuous Galerkin time‐domain solution of Maxwell's equations on locally refined grids with fictitious domains
A. Bouquet, C. Dedeban and S. Piperno COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 29(3) 578 (2010) https://doi.org/10.1108/03321641011028206
An unsplit convolutional perfectly matched layer technique improved at grazing incidence for the viscoelastic wave equation
Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods
Alfredo Bermúdez, Luis Hervella–Nieto, Andrés Prieto and Rodolfo Rodríguez Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods 167 (2008) https://doi.org/10.1007/978-3-540-77448-8_7
An Exact Bounded Perfectly Matched Layer for Time-Harmonic Scattering Problems
A. Bermúdez, L. Hervella-Nieto, A. Prieto and R. Rodríguez SIAM Journal on Scientific Computing 30(1) 312 (2008) https://doi.org/10.1137/060670912
Discontinuous Galerkin time‐domain solution of Maxwell's equations on locally‐refined nonconforming Cartesian grids
N. Canouet, L. Fezoui and S. Piperno COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 24(4) 1381 (2005) https://doi.org/10.1108/03321640510615670
On the Long-Time Behavior of Unsplit Perfectly Matched Layers
Mathematical and Numerical Aspects of Wave Propagation WAVES 2003
Eliane Bécache, Peter G. Petropoulos and Stephen D. Gedney Mathematical and Numerical Aspects of Wave Propagation WAVES 2003 120 (2003) https://doi.org/10.1007/978-3-642-55856-6_19