Implementation of higher-order absorbing boundary conditions for the Einstein equations

Classical and Quantum Gravity ◽

10.1088/0264-9381/26/7/075009 ◽

2009 ◽

Vol 26 (7) ◽

pp. 075009 ◽

Author(s):

Oliver Rinne ◽

Luisa T Buchman ◽

Mark A Scheel ◽

Harald P Pfeiffer

Keyword(s):

Boundary Conditions ◽

Higher Order ◽

Absorbing Boundary Conditions ◽

Einstein Equations ◽

Absorbing Boundary

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Well-posedness of the Westervelt equation with higher order absorbing boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.07.014 ◽

2019 ◽

Vol 479 (2) ◽

pp. 1595-1617

Author(s):

Barbara Kaltenbacher ◽

Igor Shevchenko

Keyword(s):

Boundary Conditions ◽

Higher Order ◽

Absorbing Boundary Conditions ◽

Well Posedness ◽

Absorbing Boundary ◽

Westervelt Equation

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Higher order formulation of absorbing boundary conditions for finite-difference time-domain method

Electronics Letters ◽

10.1049/el:19931347 ◽

1993 ◽

Vol 29 (23) ◽

pp. 2018 ◽

Author(s):

P.Y. Wang ◽

S. Kozaki ◽

M. Ohki ◽

T. Yabe

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Finite Difference Time Domain ◽

Higher Order ◽

Absorbing Boundary Conditions ◽

Time Domain Method ◽

Absorbing Boundary ◽

Domain Method ◽

Difference Time

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Higher order absorbing boundary conditions using reverse operation self-consistent evaluation

2016 IEEE International Symposium on Antennas and Propagation (APSURSI) ◽

10.1109/aps.2016.7696266 ◽

2016 ◽

Author(s):

Cagdas Gunes ◽

Dongwei Li ◽

Jin-Fa Lee

Keyword(s):

Boundary Conditions ◽

Higher Order ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

Self Consistent

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A higher-order FDTD technique for the implementation of enhanced dispersionless perfectly matched layers combined with efficient absorbing boundary conditions

IEEE Transactions on Magnetics ◽

10.1109/20.717635 ◽

1998 ◽

Vol 34 (5) ◽

pp. 2736-2739 ◽

Author(s):

N.V. Kantartzis ◽

T.D. Tsiboukis

Keyword(s):

Boundary Conditions ◽

Higher Order ◽

Absorbing Boundary Conditions ◽

Perfectly Matched Layers ◽

Absorbing Boundary ◽

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Implementing Higher Order Absorbing Boundary Conditions in Vector Finite Element Methods

2006 IEEE Antennas and Propagation Society International Symposium ◽

10.1109/aps.2006.1710913 ◽

2006 ◽

Author(s):

F. Gundes ◽

Kezhong Zhao ◽

Jin-Fa Lee

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Finite Element Methods ◽

Higher Order ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

Vector Finite Element

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Improved formulations for higher order absorbing boundary conditions

Electronics Letters ◽

10.1049/el:19970372 ◽

1997 ◽

Vol 33 (7) ◽

pp. 568 ◽

Author(s):

O. Ramadan ◽

A.Y. Niazi

Keyword(s):

Boundary Conditions ◽

Higher Order ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary

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Non-conforming Galerkin finite element methods for local absorbing boundary conditions of higher order

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.08.034 ◽

2015 ◽

Vol 70 (9) ◽

pp. 2252-2269 ◽

Author(s):

Kersten Schmidt ◽

Julien Diaz ◽

Christian Heier

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Finite Element Methods ◽

Higher Order ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods

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Higher order absorbing boundary conditions for the finite-difference time-domain method

IEEE Transactions on Antennas and Propagation ◽

10.1109/8.182454 ◽

1992 ◽

Vol 40 (10) ◽

pp. 1215-1222 ◽

Author(s):

P.A. Tirkas ◽

C.A. Balanis ◽

R.A. Renaut

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Finite Difference Time Domain ◽

Higher Order ◽

Absorbing Boundary Conditions ◽

Time Domain Method ◽

Absorbing Boundary ◽

Domain Method ◽

Difference Time

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Implementation of Higher Order Absorbing Boundary Conditions in Vector Finite Element Methods

2006 12th Biennial IEEE Conference on Electromagnetic Field Computation ◽

10.1109/cefc-06.2006.1633190 ◽

2006 ◽

Author(s):

F. Gundes ◽

Kezhong Zhao ◽

Jin-Fa Lee

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Finite Element Methods ◽

Higher Order ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

Vector Finite Element

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Higher order impedance and absorbing boundary conditions

IEEE Transactions on Antennas and Propagation ◽

10.1109/8.554247 ◽

1997 ◽

Vol 45 (1) ◽

pp. 107-114 ◽

Author(s):

T.B.A. Senior ◽

J.L. Volakis ◽

S.R. Legault

Keyword(s):

Boundary Conditions ◽

Higher Order ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary

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