The inverse problem and the second order θ scheme with finite element method used for 2D nonlinear space fractional Schrödinger equation

Applied Mathematics Letters ◽

10.1016/j.aml.2019.06.013 ◽

2019 ◽

Vol 98 ◽

pp. 240-247

Author(s):

Wenping Fan ◽

Hui Zhang

Keyword(s):

Finite Element Method ◽

Inverse Problem ◽

Finite Element ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Second Order ◽

Fractional Schrödinger Equation ◽

Fractional Schrodinger Equation ◽

Element Method

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A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.06.010 ◽

2018 ◽

Vol 338 ◽

pp. 758-773 ◽

Cited By ~ 6

Author(s):

Meng Li ◽

Yong-Liang Zhao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Wave Operator ◽

Schrodinger Equation ◽

Fractional Schrödinger Equation ◽

Energy Conserving ◽

Nonlinear Fractional Schrödinger Equation ◽

Fractional Schrodinger Equation ◽

Element Method

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An efficient finite element method for the two-dimensional nonlinear time–space fractional Schrödinger equation on an irregular convex domain

Applied Mathematics Letters ◽

10.1016/j.aml.2018.06.028 ◽

2018 ◽

Vol 86 ◽

pp. 103-110 ◽

Cited By ~ 8

Author(s):

Wenping Fan ◽

Haitao Qi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Convex Domain ◽

Schrodinger Equation ◽

Two Dimensional ◽

Fractional Schrödinger Equation ◽

Time Space ◽

Fractional Schrodinger Equation ◽

Element Method

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Error analysis of the unstructured mesh finite element method for the two-dimensional time-space fractional Schrödinger equation with a time-independent potential

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1846726 ◽

2020 ◽

pp. 1-20

Author(s):

Wenping Fan ◽

Xiaoyun Jiang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Error Analysis ◽

Schrodinger Equation ◽

Unstructured Mesh ◽

Two Dimensional ◽

Time Space ◽

Fractional Schrodinger Equation ◽

Element Method

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An Efficient and Unconditionally Convergent Galerkin Finite Element Method for the Nonlinear Schrodinger Equation in High Dimensions

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2020-0033 ◽

2021 ◽

Vol 13 (4) ◽

pp. 735-760

Author(s):

global sci

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Galerkin Finite Element Method ◽

High Dimensions ◽

Galerkin Finite Element ◽

Element Method

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Nonconforming finite element method for a generalized nonlinear Schrödinger equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125141 ◽

2020 ◽

Vol 377 ◽

pp. 125141

Author(s):

Houchao Zhang ◽

Dongyang Shi ◽

Qingfu Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonconforming Finite Element ◽

Nonconforming Finite Element Method ◽

Generalized Nonlinear Schrödinger Equation ◽

Element Method

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On the convergence of a linear two-step finite element method for the nonlinear Schrödinger equation

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2001121 ◽

2001 ◽

Vol 35 (3) ◽

pp. 389-405 ◽

Cited By ~ 23

Author(s):

Georgios E. Zouraris

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Element Method

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Superconvergence analysis of finite element method for the time-dependent Schrödinger equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.03.015 ◽

2016 ◽

Vol 71 (10) ◽

pp. 1960-1972 ◽

Cited By ~ 7

Author(s):

Jianyun Wang ◽

Yunqing Huang ◽

Zhikun Tian ◽

Jie Zhou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Time Dependent ◽

Element Method

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Error Estimates for the Solution of the Radial Schrödinger Equation by the Rayleigh—Ritz Finite Element Method

IMA Journal of Numerical Analysis ◽

10.1093/imanum/1.1.47 ◽

1981 ◽

Vol 1 (1) ◽

pp. 47-63 ◽

Cited By ~ 5

Author(s):

S. W. SCHOOMBIE ◽

J. F. BOTHA

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Error Estimates ◽

Schrodinger Equation ◽

Radial Schrödinger Equation ◽

Element Method

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Two-grid method for two-dimensional nonlinear Schrödinger equation by mixed finite element method

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.10.018 ◽

2018 ◽

Vol 75 (3) ◽

pp. 900-917 ◽

Cited By ~ 6

Author(s):

Hanzhang Hu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Mixed Finite Element ◽

Grid Method ◽

Mixed Finite Element Method ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Element Method

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Computational Solution of TD-Schrodinger Equation Based on Finite Element Method in Real Space

The proceedings of the JSME annual meeting ◽

10.1299/jsmemecjo.2002.6.0_215 ◽

2002 ◽

Vol 2002.6 (0) ◽

pp. 215-216

Author(s):

Yasuyuki MITSUI ◽

Osamu KUWAZURU ◽

Nobuhiro YOSHIKAWA

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Real Space ◽

Computational Solution ◽

Element Method

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