A Conservative Discontinuous Galerkin Method for Nonlinear Electromagnetic Schrödinger Equations

Nianyu Yi; Yunqing Huang; Hailiang Liu

doi:10.1137/19m124229x

A Conservative Discontinuous Galerkin Method for Nonlinear Electromagnetic Schrödinger Equations

SIAM Journal on Scientific Computing ◽

10.1137/19m124229x ◽

2019 ◽

Vol 41 (6) ◽

pp. B1389-B1411 ◽

Cited By ~ 1

Author(s):

Nianyu Yi ◽

Yunqing Huang ◽

Hailiang Liu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Schrodinger Equations ◽

Schrödinger Equations

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Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Schrödinger Equations

Journal of Scientific Computing ◽

10.1007/s10915-017-0362-6 ◽

2017 ◽

Vol 73 (2-3) ◽

pp. 1290-1315 ◽

Cited By ~ 6

Author(s):

Lingling Zhou ◽

Yan Xu ◽

Zhimin Zhang ◽

Waixiang Cao

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

One Dimensional ◽

Local Discontinuous Galerkin

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Solving coupled nonlinear Schrödinger equations via a direct discontinuous Galerkin method

Chinese Physics B ◽

10.1088/1674-1056/21/3/030202 ◽

2012 ◽

Vol 21 (3) ◽

pp. 030202 ◽

Cited By ~ 17

Author(s):

Rong-Pei Zhang ◽

Xi-Jun Yu ◽

Tao Feng

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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A Local Discontinuous Galerkin Method with Generalized Alternating Fluxes for 2D Nonlinear Schrödinger Equations

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00100-7 ◽

2021 ◽

Author(s):

Hongjuan Zhang ◽

Boying Wu ◽

Xiong Meng

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Local Discontinuous Galerkin ◽

Nonlinear Schrodinger Equations

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An Adaptive Multiresolution Ultra-weak Discontinuous Galerkin Method for Nonlinear Schrödinger Equations

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00096-0 ◽

2021 ◽

Author(s):

Zhanjing Tao ◽

Juntao Huang ◽

Yuan Liu ◽

Wei Guo ◽

Yingda Cheng

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Error estimates and post-processing of local discontinuous Galerkin method for Schrödinger equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.033 ◽

2019 ◽

Vol 356 ◽

pp. 198-218

Author(s):

Qi Tao ◽

Yinhua Xia

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Post Processing ◽

Local Discontinuous Galerkin

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SELECTION OF VISCOUS TERMS APPROXIMATION IN DISCONTINUOUS GALERKIN METHOD

TsAGI Science Journal ◽

10.1615/tsagiscij.2013009684 ◽

2013 ◽

Vol 44 (3) ◽

pp. 327-354

Author(s):

Aleksey Igorevich Troshin ◽

Vladimir Viktorovich Vlasenko ◽

Andrey Viktorovich Wolkov

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Selection Of

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The Extension of A Limiting Algorithm for Discontinuous Galerkin Method to Higher Order

19th AIAA Computational Fluid Dynamics ◽

10.2514/6.2009-3982 ◽

2009 ◽

Author(s):

Adrian Maroni ◽

Klaus Hoffmann

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Higher Order

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Correction: A Discontinuous Galerkin method for Non-Equilibrium Multi-Material Flows on Unstructured Grids

AIAA Scitech 2020 Forum ◽

10.2514/6.2020-1313.c1 ◽

2020 ◽

Author(s):

Aditya Pandare ◽

Jacob Waltz ◽

Jozsef Bakosi

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Unstructured Grids ◽

Material Flows ◽

Non Equilibrium

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A level-set discontinuous galerkin method for polymorphic phase change

10.26226/morressier.5f5f8e69aa777f8ba5bd5ff1 ◽

2020 ◽

Author(s):

Arjun Narayanan ◽

Stephen Morris

Keyword(s):

Phase Change ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Level Set ◽

Discontinuous Galerkin Method

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Numerical Behavior of the Discontinuous Galerkin Method in Incompressible Fluid Flow Simulations for Low Reynolds Number

10.26678/abcm.cobem2017.cob17-2592 ◽

2017 ◽

Author(s):

Francisco Augusto Aparecido Gomes ◽

Paulo Rogério Novak ◽

Aureo Quintas Garcia ◽

Mildred Ballin Hecke ◽

Fernando José da Silva

Keyword(s):

Reynolds Number ◽

Fluid Flow ◽

Incompressible Fluid ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Low Reynolds Number ◽

Incompressible Fluid Flow ◽

Flow Simulations ◽

Low Reynolds

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