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Perfectly Matched Layers on Cubic Domains for Pauli’s Equations
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Discontinuous Galerkin discretizations of the Boltzmann–BGK equations for nearly incompressible flows: Semi-analytic time stepping and absorbing boundary layers
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Energy Decay and Stability of a Perfectly Matched Layer For the Wave Equation
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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
Time-domain PML formulation for modeling viscoelastic waves with Rayleigh-type damping in an unbounded domain: Theory and application in ABAQUS
Mathematical Foundations of Computational Electromagnetism
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Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: necessary and sufficient conditions of stability
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Non-deteriorating time domain numerical algorithms for Maxwell's electrodynamics
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
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Near-Optimal Perfectly Matched Layers for Indefinite Helmholtz Problems
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
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Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
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A Krylov Stability-Corrected Coordinate-Stretching Method to Simulate Wave Propagation in Unbounded Domains
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 53 (2013) https://doi.org/10.1007/978-3-642-33789-5_3
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Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
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Remarks on the stability of Cartesian PMLs in corners
An Iterative Two-Grid Method of A Finite Element PML Approximation for the Two Dimensional Maxwell Problem
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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
Stability analysis of FDTD to UPML for time dependent Maxwell equations
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 unsplit convolutional perfectly matched layer improved at grazing incidence for seismic wave propagation in poroelastic media
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
Exact non-reflecting boundary conditions on general domains
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A new family of first-order boundary conditions for the Maxwell system: derivation, well-posedness and long-time behavior