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 ◽

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 ◽

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

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22193 ◽

2017 ◽

Vol 34 (2) ◽

pp. 385-400 ◽

Author(s):

Hanzhang Hu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Grid Method ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

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Two-grid method for the two-dimensional time-dependent Schrödinger equation by the finite element method

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.01.030 ◽

2019 ◽

Vol 77 (12) ◽

pp. 3043-3053

Author(s):

Zhikun Tian ◽

Yanping Chen ◽

Yunqing Huang ◽

Jianyun Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Grid Method ◽

Time Dependent ◽

Two Dimensional ◽

The Finite Element Method ◽

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Error estimates of H 1-Galerkin mixed finite element method for Schrödinger equation

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-009-1782-3 ◽

2009 ◽

Vol 24 (1) ◽

pp. 83-89 ◽

Author(s):

Yang Liu ◽

Hong Li ◽

Jin-feng Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Error Estimates ◽

Schrodinger Equation ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

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Numerical solution of two-dimensional nonlinear Schrödinger equation using a new two-grid finite element method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.06.049 ◽

2020 ◽

Vol 364 ◽

pp. 112333 ◽

Author(s):

Hanzhang Hu ◽

Yanping Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Numerical Solution ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

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The mixed finite element method applied to two-dimensional elastic contact problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620170705 ◽

1981 ◽

Vol 17 (7) ◽

pp. 991-1014 ◽

Author(s):

Jorgito Tseng ◽

Mervyn D. Olson

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Contact Problems ◽

Elastic Contact ◽

Two Dimensional ◽

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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 ◽

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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 ◽

Fractional Schrodinger Equation ◽

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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 ◽

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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 ◽

Author(s):

Georgios E. Zouraris

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

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A Space-Time Finite Element Method for the Nonlinear Schrödinger Equation: The Continuous Galerkin Method

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142997330111 ◽

1999 ◽

Vol 36 (6) ◽

pp. 1779-1807 ◽

Author(s):

Ohannes Karakashian ◽

Charalambos Makridakis

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Schrödinger Equation ◽

Galerkin Method ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Continuous Galerkin ◽

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