Energy conservation and super convergence analysis of the EC‐S‐FDTD schemes for Maxwell equations with periodic boundaries

Liping Gao; Minmin Cao; Rengang Shi; Hui Guo

doi:10.1002/num.22364

Energy conservation and super convergence analysis of the EC‐S‐FDTD schemes for Maxwell equations with periodic boundaries

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22364 ◽

2019 ◽

Vol 35 (4) ◽

pp. 1562-1587

Author(s):

Liping Gao ◽

Minmin Cao ◽

Rengang Shi ◽

Hui Guo

Keyword(s):

Energy Conservation ◽

Convergence Analysis ◽

Maxwell Equations ◽

Periodic Boundaries ◽

Super Convergence

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Stability and Super Convergence Analysis of ADI-FDTD for the 2D Maxwell Equations in a Lossy Medium

Acta Mathematica Scientia ◽

10.1016/s0252-9602(12)60184-2 ◽

2012 ◽

Vol 32 (6) ◽

pp. 2341-2368 ◽

Cited By ~ 4

Author(s):

Gao Liping

Keyword(s):

Convergence Analysis ◽

Maxwell Equations ◽

Lossy Medium ◽

Super Convergence

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Super-convergence analysis of collocation methods for linear and nonlinear third-kind Volterra integral equations with non-compact operators

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126562 ◽

2022 ◽

Vol 412 ◽

pp. 126562

Author(s):

Huiming Song ◽

Zhanwen Yang ◽

Yu Xiao

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Compact Operators ◽

Volterra Integral Equations ◽

Collocation Methods ◽

Linear And Nonlinear ◽

Super Convergence

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Convergence Analysis of Stochastic Collocation Methods for Maxwell Equations with Random Inputs

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2018-0023 ◽

2019 ◽

Vol 12 (3) ◽

pp. 824-844

Author(s):

Lizheng Cheng

Keyword(s):

Convergence Analysis ◽

Maxwell Equations ◽

Collocation Methods ◽

Stochastic Collocation ◽

Random Inputs ◽

Stochastic Collocation Methods

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New energy identities and super convergence analysis of the energy conserved splitting FDTD methods for 3D Maxwell's equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2605 ◽

2012 ◽

Vol 36 (4) ◽

pp. 440-455 ◽

Cited By ~ 3

Author(s):

Liping Gao ◽

Xingjie Li ◽

Wenbin Chen

Keyword(s):

Convergence Analysis ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

New Energy ◽

Fdtd Methods ◽

Super Convergence

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An Interior Penalty Method with C0Finite Elements for the Approximation of the Maxwell Equations in Heterogeneous Media: Convergence Analysis with Minimal Regularity

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2015086 ◽

2016 ◽

Vol 50 (5) ◽

pp. 1457-1489 ◽

Cited By ~ 3

Author(s):

Andrea Bonito ◽

Jean-Luc Guermond ◽

Francky Luddens

Keyword(s):

Convergence Analysis ◽

Penalty Method ◽

Maxwell Equations ◽

Heterogeneous Media ◽

Media Convergence ◽

Interior Penalty ◽

Interior Penalty Method

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Convergence analysis of a hp ‐finite element approximation of the time‐harmonic Maxwell equations with impedance boundary conditions in domains with an analytic boundary

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22508 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1868-1903

Author(s):

Serge Nicaise ◽

Jérôme Tomezyk

Keyword(s):

Finite Element ◽

Boundary Conditions ◽

Convergence Analysis ◽

Maxwell Equations ◽

Finite Element Approximation ◽

Element Approximation ◽

Impedance Boundary ◽

Analytic Boundary ◽

Impedance Boundary Conditions ◽

Time Harmonic

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Convergence Analysis of Various Factorization Rules in the Fourier-Bessel Basis for Solving Maxwell Equations using Modal Methods

Optics Express ◽

10.1364/oe.413632 ◽

2021 ◽

Author(s):

Maciej Dems

Keyword(s):

Convergence Analysis ◽

Maxwell Equations

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Simple Finite Element Numerical Simulation of Incompressible Flow Over Non-rectangular Domains and the Super-Convergence Analysis

Journal of Scientific Computing ◽

10.1007/s10915-015-0005-8 ◽

2015 ◽

Vol 65 (3) ◽

pp. 1189-1216 ◽

Cited By ~ 3

Author(s):

Yunhua Xue ◽

Cheng Wang ◽

Jian-Guo Liu

Keyword(s):

Numerical Simulation ◽

Finite Element ◽

Convergence Analysis ◽

Incompressible Flow ◽

Finite Element Numerical Simulation ◽

Super Convergence

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A social psychological perspective on energy conservation in residential buildings.

American Psychologist ◽

10.1037/0003-066x.39.7.810 ◽

1984 ◽

Vol 39 (7) ◽

pp. 810-811 ◽

Cited By ~ 2

Author(s):

Lynn Langmeyer

Keyword(s):

Energy Conservation ◽

Residential Buildings ◽

Psychological Perspective ◽

Social Psychological ◽

Social Psychological Perspective

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Habits, hardware, and energy conservation.

American Psychologist ◽

10.1037/0003-066x.36.4.426 ◽

1981 ◽

Vol 36 (4) ◽

pp. 426-428 ◽

Cited By ~ 3

Author(s):

Paul C. Stern ◽

Gerald T. Gardner

Keyword(s):

Energy Conservation

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