A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations

SIAM Journal on Scientific Computing ◽

10.1137/20m1382568 ◽

2021 ◽

Vol 43 (4) ◽

pp. A2638-A2659

Author(s):

James H. Adler ◽

Casey Cavanaugh ◽

Xiaozhe Hu ◽

Ludmil T. Zikatanov

Keyword(s):

Finite Element ◽

Finite Difference ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Finite Difference Discretization ◽

Difference Discretization

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A hybrid finite-element / finite-difference method with implicit-explicit time stepping scheme for Maxwell's equations

2011 IEEE International Conference on Microwave Technology & Computational Electromagnetics ◽

10.1109/icmtce.2011.5915564 ◽

2011 ◽

Author(s):

Bao Zhu ◽

Jiefu Chen ◽

Wanxie Zhong

Keyword(s):

Finite Element ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Time Stepping ◽

Hybrid Finite Element

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Hybrid Discontinuous Finite Element∕Finite Difference Method for Maxwell’s Equations

10.1063/1.3498465 ◽

2010 ◽

Author(s):

L. Beilina ◽

Theodore E. Simos ◽

George Psihoyios ◽

Ch. Tsitouras

Keyword(s):

Finite Element ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Discontinuous Finite Element

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A hybrid finite-element/finite-difference method with an implicit-explicit time-stepping scheme for Maxwell's equations

International Journal of Numerical Modelling Electronic Networks Devices and Fields ◽

10.1002/jnm.1853 ◽

2012 ◽

Vol 25 (5-6) ◽

pp. 607-620 ◽

Author(s):

B. Zhu ◽

J. Chen ◽

W. Zhong ◽

Q. H. Liu

Keyword(s):

Finite Element ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Time Stepping ◽

Hybrid Finite Element

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Finite element solution of Maxwell's equations for hyperthermia treatment planning

Journal of Computational Physics ◽

10.1016/0021-9991(85)90179-2 ◽

1985 ◽

Vol 58 (2) ◽

pp. 246-269 ◽

Author(s):

Daniel R. Lynch ◽

Keith D. Paulsen ◽

John W. Strohbehn

Keyword(s):

Finite Element ◽

Treatment Planning ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Finite Element Solution ◽

Element Solution ◽

Hyperthermia Treatment

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Finite-element method for time-dependent Maxwell's equations based on an explicit-magnetic-field scheme

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.08.008 ◽

2006 ◽

Vol 194 (2) ◽

pp. 409-424 ◽

Author(s):

Changfeng Ma

Keyword(s):

Magnetic Field ◽

Finite Element Method ◽

Finite Element ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Time Dependent ◽

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A fully-implicit parallel framework for complex reservoir simulation with mimetic finite difference discretization and operator-based linearization

Computational Geosciences ◽

10.1007/s10596-021-10096-5 ◽

2021 ◽

Author(s):

Longlong Li ◽

Ahmad Abushaikha

Keyword(s):

Finite Difference ◽

Reservoir Simulation ◽

Fully Implicit ◽

Finite Difference Discretization ◽

Difference Discretization

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A Staggered-grid Finite Element Solution Technique for the Maxwell’s Equations in the Time Domain

Wave Phenomena - Woodward Conference ◽

10.1007/978-1-4613-8856-2_10 ◽

1989 ◽

pp. 140-146

Author(s):

Robert L. Lee ◽

Niel K. Madsen

Keyword(s):

Finite Element ◽

Time Domain ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Finite Element Solution ◽

Staggered Grid ◽

Solution Technique ◽

Element Solution ◽

The Time Domain

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Convergence of Explicit $$P_1$$ Finite-Element Solutions to Maxwell’s Equations

Mathematical and Numerical Approaches for Multi-Wave Inverse Problems - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-48634-1_7 ◽

2020 ◽

pp. 91-103

Author(s):

Larisa Beilina ◽

V. Ruas

Keyword(s):

Finite Element ◽

Maxwell’S Equations ◽

Maxwell's Equations

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Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs

Communications in Computational Physics ◽

10.4208/cicp.oa-2020-0011 ◽

2021 ◽

Vol 29 (1) ◽

pp. 211-236

Author(s):

Xiang Wang

Keyword(s):

Finite Element ◽

Monte Carlo ◽

Finite Element Methods ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Time Dependent ◽

Random Inputs ◽

Single Level ◽

Quasi Monte Carlo ◽

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High-Accuracy FDTD Solution of the Absorbing Wave Equation, and Conducting Maxwell's Equations Based on a Nonstandard Finite-Difference Model

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2004.823874 ◽

2004 ◽

Vol 52 (3) ◽

pp. 725-729 ◽

Author(s):

J.B. Cole

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

High Accuracy ◽

Difference Model ◽

Finite Difference Model ◽

Nonstandard Finite Difference

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