FDTD based second-order accurate local mesh refinement method for Maxwell's equations in two space dimensions

M. Brio; J. V. Moloney; A. R. Zakharian

doi:10.4310/cms.2004.v2.n3.a8

FDTD based second-order accurate local mesh refinement method for Maxwell's equations in two space dimensions

Communications in Mathematical Sciences ◽

10.4310/cms.2004.v2.n3.a8 ◽

2004 ◽

Vol 2 (3) ◽

pp. 497-513 ◽

Cited By ~ 13

Author(s):

M. Brio ◽

J. V. Moloney ◽

A. R. Zakharian

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

Mesh Refinement ◽

Second Order ◽

Local Mesh Refinement ◽

Refinement Method ◽

Two Space Dimensions

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Stability of 2D FDTD algorithms with local mesh refinement for Maxwell's equations

Communications in Mathematical Sciences ◽

10.4310/cms.2006.v4.n2.a5 ◽

2006 ◽

Vol 4 (2) ◽

pp. 345-374 ◽

Cited By ~ 12

Author(s):

M. Brio ◽

C. Dineen ◽

J. V. Moloney ◽

A. R. Zakharian

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

Mesh Refinement ◽

Local Mesh Refinement ◽

2D Fdtd

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A second order numerical scheme for nonlinear Maxwell’s equations using conforming finite element

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124940 ◽

2020 ◽

Vol 371 ◽

pp. 124940

Author(s):

Changhui Yao ◽

Shanghui Jia

Keyword(s):

Finite Element ◽

Maxwell’S Equations ◽

Numerical Scheme ◽

Maxwell's Equations ◽

Second Order ◽

Conforming Finite Element

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A fourth-order Cartesian local mesh refinement method for the computational fluid dynamics of physiological flow in multi-generation branched vessels

International Journal for Numerical Methods in Biomedical Engineering ◽

10.1002/cnm.1416 ◽

2010 ◽

Vol 27 (3) ◽

pp. 424-435 ◽

Cited By ~ 2

Author(s):

Takahito Miki ◽

Yohsuke Imai ◽

Takuji Ishikawa ◽

Shigeo Wada ◽

Takayuki Aoki ◽

...

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Fourth Order ◽

Mesh Refinement ◽

Physiological Flow ◽

Local Mesh Refinement ◽

Refinement Method

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Second order finite volume scheme on structured meshes for Maxwell's equations with discontinuous dielectric permittivity

Proceedings of the International Conference Days on Diffraction 2014 ◽

10.1109/dd.2014.7036434 ◽

2014 ◽

Author(s):

Timur Z. Ismagilov

Keyword(s):

Dielectric Permittivity ◽

Finite Volume ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Second Order ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Structured Meshes

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A second-order scheme for Maxwell's equations with dielectric permittivity discontinuities and total field-scattered field boundaries

International Journal of Computer Mathematics ◽

10.1080/00207160.2012.687728 ◽

2012 ◽

Vol 89 (10) ◽

pp. 1378-1387 ◽

Cited By ~ 1

Author(s):

Timur Z. Ismagilov

Keyword(s):

Dielectric Permittivity ◽

Scattered Field ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Second Order ◽

Total Field ◽

Order Scheme ◽

Field Boundaries

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Second Order Finite Volume Scheme on Tetrahedral Meshes for Three-Dimensional Maxwell’s Equations with Discontinuous Dielectric Permittivity

EPJ Web of Conferences ◽

10.1051/epjconf/201610802030 ◽

2016 ◽

Vol 108 ◽

pp. 02030

Author(s):

Timur Z. Ismagilov

Keyword(s):

Dielectric Permittivity ◽

Finite Volume ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Three Dimensional ◽

Second Order ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Tetrahedral Meshes

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Conservative space-time mesh refinement methods for the FDTD solution of Maxwell’s equations

Journal of Computational Physics ◽

10.1016/j.jcp.2005.03.035 ◽

2006 ◽

Vol 211 (1) ◽

pp. 9-35 ◽

Cited By ~ 43

Author(s):

F. Collino ◽

T. Fouquet ◽

P. Joly

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

Mesh Refinement ◽

Space Time

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A second order dispersive FDTD algorithm for transverse electric Maxwell’s equations with complex interfaces

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.01.014 ◽

2016 ◽

Vol 71 (4) ◽

pp. 1010-1035 ◽

Cited By ~ 6

Author(s):

Duc Duy Nguyen ◽

Shan Zhao

Keyword(s):

Maxwell’S Equations ◽

Maxwell's Equations ◽

Transverse Electric ◽

Second Order

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A higher-order implicit IDO scheme and its CFD application to local mesh refinement method

Computational Mechanics ◽

10.1007/s00466-005-0742-x ◽

2005 ◽

Vol 38 (3) ◽

pp. 211-221 ◽

Cited By ~ 6

Author(s):

Yohsuke Imai ◽

Takayuki Aoki

Keyword(s):

Mesh Refinement ◽

Higher Order ◽

Local Mesh Refinement ◽

Refinement Method

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Error Analysis of a Second-Order Locally Implicit Method for Linear Maxwell's Equations

SIAM Journal on Numerical Analysis ◽

10.1137/15m1038037 ◽

2016 ◽

Vol 54 (5) ◽

pp. 3167-3191 ◽

Cited By ~ 11

Author(s):

Marlis Hochbruck ◽

Andreas Sturm

Keyword(s):

Error Analysis ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Second Order ◽

Implicit Method

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