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 Mixed $H^1$-Conforming Finite Element Method for Solving Maxwell's Equations with Non-$H^1$ Solution

SIAM Journal on Scientific Computing ◽

10.1137/16m1078082 ◽

2018 ◽

Vol 40 (1) ◽

pp. A224-A250 ◽

Author(s):

Huo-Yuan Duan ◽

Roger C. E. Tan ◽

Suh-Yuh Yang ◽

Cheng-Shu You

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Conforming Finite Element ◽

Conforming Finite Element Method ◽

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A Second-Order Finite Element Method with Mass Lumping for Maxwell's Equations on Tetrahedra

SIAM Journal on Numerical Analysis ◽

10.1137/20m1318912 ◽

2021 ◽

Vol 59 (2) ◽

pp. 864-885

Author(s):

Herbert Egger ◽

Bogdan Radu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Second Order ◽

Mass Lumping ◽

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A second order nonconforming rectangular finite element method for approximating Maxwell’s equations

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-011-0103-9 ◽

2011 ◽

Vol 27 (4) ◽

pp. 739-748

Author(s):

Dong-yang Shi ◽

Xiao-bin Hao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Second Order ◽

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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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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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Maximum Principles for $P1$-Conforming Finite Element Approximations of Quasi-linear Second Order Elliptic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/110833737 ◽

2012 ◽

Vol 50 (2) ◽

pp. 626-642 ◽

Author(s):

Junping Wang ◽

Ran Zhang

Keyword(s):

Finite Element ◽

Elliptic Equations ◽

Second Order ◽

Maximum Principles ◽

Finite Element Approximations ◽

Conforming Finite Element ◽

Second Order Elliptic Equations

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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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