A leap-frog finite element method for wave propagation of Maxwell–Schrödinger equations with nonlocal effect in metamaterials

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.02.019 ◽

2021 ◽

Vol 90 ◽

pp. 25-37

Author(s):

C.H. Yao ◽

Z.Y. Wang ◽

Y.M. Zhao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Propagation ◽

Nonlocal Effect ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

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A combined spectral-finite element method for a type of nonlinear two-dimensional Schrödinger equations

Nonlinear Evolutionary Partial Differential Equations - AMS/IP Studies in Advanced Mathematics ◽

10.1090/amsip/003/48 ◽

1996 ◽

pp. 527-531

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Spectral Finite Element Method ◽

Spectral Finite Element ◽

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Galerkin finite element method for nonlinear fractional Schrödinger equations

Numerical Algorithms ◽

10.1007/s11075-016-0160-5 ◽

2016 ◽

Vol 74 (2) ◽

pp. 499-525 ◽

Author(s):

Meng Li ◽

Chengming Huang ◽

Pengde Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations ◽

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A Crank--Nicolson Finite Element Method and the Optimal Error Estimates for the Modified Time-Dependent Maxwell--Schrödinger Equations

SIAM Journal on Numerical Analysis ◽

10.1137/16m1085231 ◽

2018 ◽

Vol 56 (1) ◽

pp. 369-396 ◽

Author(s):

Chupeng Ma ◽

Liqun Cao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Time Dependent ◽

Optimal Error Estimates ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Optimal Error ◽

Element Method ◽

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A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

Journal of Computational Physics ◽

10.1016/j.jcp.2017.12.044 ◽

2018 ◽

Vol 358 ◽

pp. 256-282 ◽

Author(s):

Meng Li ◽

Xian-Ming Gu ◽

Chengming Huang ◽

Mingfa Fei ◽

Guoyu Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Strongly Coupled ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations ◽

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A high-order generalized Finite Element Method for multiscale structural dynamics and wave propagation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.113934 ◽

2021 ◽

Vol 384 ◽

pp. 113934

Author(s):

A.G. Sanchez-Rivadeneira ◽

C.A. Duarte

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Propagation ◽

Structural Dynamics ◽

Generalized Finite Element Method ◽

Generalized Finite Element ◽

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A finite element method enriched for wave propagation problems

Computers & Structures ◽

10.1016/j.compstruc.2012.01.001 ◽

2012 ◽

Vol 94-95 ◽

pp. 1-12 ◽

Author(s):

Seounghyun Ham ◽

Klaus-Jürgen Bathe

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Propagation ◽

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Features of ultrasonic wave propagation to identify defects in composite materials modelled by finite element method

NDT & E International ◽

10.1016/s0963-8695(96)00016-3 ◽

1996 ◽

Vol 29 (4) ◽

pp. 213-223 ◽

Author(s):

D. Datta ◽

N.N. Kishore

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Propagation ◽

Composite Materials ◽

Ultrasonic Wave ◽

Ultrasonic Wave Propagation ◽

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Accurate modeling of PZT-induced Lamb wave propagation in structures by using a novel spectral finite element method

Smart Materials and Structures ◽

10.1088/0964-1726/23/9/095018 ◽

2014 ◽

Vol 23 (9) ◽

pp. 095018 ◽

Author(s):

Luyao Ge ◽

Xinwei Wang ◽

Feng Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Propagation ◽

Lamb Wave ◽

Spectral Finite Element Method ◽

Spectral Finite Element ◽

Lamb Wave Propagation ◽

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A combined molecular dynamics and finite element method technique applied to laser induced pressure wave propagation

Computer Physics Communications ◽

10.1016/s0010-4655(98)00175-1 ◽

1999 ◽

Vol 118 (1) ◽

pp. 11-16 ◽

Author(s):

Julia A. Smirnova ◽

Leonid V. Zhigilei ◽

Barbara J. Garrison

Keyword(s):

Finite Element Method ◽

Molecular Dynamics ◽

Finite Element ◽

Wave Propagation ◽

Pressure Wave ◽

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A hybrid-Galerkin finite-element method for seismic wave propagation in fractured media

10.1190/segam2017-17683820.1 ◽

2017 ◽

Author(s):

Janaki Vamaraju ◽

Mrinal Sen ◽

Mary F. Wheeler ◽

Jonas De Basabe

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Propagation ◽

Seismic Wave ◽

Seismic Wave Propagation ◽

Fractured Media ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

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