A hybrid discontinuous Galerkin method for computing the ground state solution of Bose–Einstein condensates

Journal of Computational Physics ◽

10.1016/j.jcp.2012.03.010 ◽

2012 ◽

Vol 231 (14) ◽

pp. 4709-4722 ◽

Author(s):

Charbel Farhat ◽

Jari Toivanen

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Ground State ◽

Ground State Solution ◽

State Solution ◽

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A multigrid method for the ground state solution of Bose–Einstein condensates based on Newton iteration

BIT Numerical Mathematics ◽

10.1007/s10543-020-00830-3 ◽

2021 ◽

Author(s):

Fei Xu ◽

Hehu Xie ◽

Manting Xie ◽

Meiling Yue

Keyword(s):

Ground State ◽

Multigrid Method ◽

Ground State Solution ◽

Newton Iteration ◽

State Solution ◽

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Computing Ground State Solution of Bose–Einstein Condensates Trapped in One-Dimensional Harmonic Potential

Communications in Theoretical Physics ◽

10.1088/0253-6102/46/5/021 ◽

2006 ◽

Vol 46 (5) ◽

pp. 873-878 ◽

Author(s):

Yuan Qing-Xin ◽

Ding Guo-Hui

Keyword(s):

Ground State ◽

Ground State Solution ◽

State Solution ◽

Harmonic Potential ◽

One Dimensional ◽

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A Krylov semi-implicit discontinuous Galerkin method for the computation of ground and excited states in Bose–Einstein condensates

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.12.038 ◽

2016 ◽

Vol 40 (7-8) ◽

pp. 5096-5110 ◽

Author(s):

Rongpei Zhang ◽

Jiang Zhu ◽

Xiang-Gui Li ◽

Abimael F.D. Loula ◽

Xijun Yu

Keyword(s):

Galerkin Method ◽

Excited States ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

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A novel adaptive finite element method for the ground state solution of Bose-Einstein condensates

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125404 ◽

2020 ◽

Vol 385 ◽

pp. 125404

Author(s):

Fei Xu ◽

Qiumei Huang ◽

Min Wang ◽

Hongkun Ma

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Ground State ◽

Ground State Solution ◽

State Solution ◽

Adaptive Finite Element Method ◽

Adaptive Finite Element ◽

Bose Einstein ◽

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Computable Error Estimates for Ground State Solution of Bose–Einstein Condensates

Journal of Scientific Computing ◽

10.1007/s10915-019-01051-9 ◽

2019 ◽

Vol 81 (2) ◽

pp. 1072-1087 ◽

Author(s):

Hehu Xie ◽

Manting Xie

Keyword(s):

Error Estimates ◽

Ground State ◽

Ground State Solution ◽

State Solution ◽

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Ground-state solution of Bose–Einstein condensate by directly minimizing the energy functional

Journal of Computational Physics ◽

10.1016/s0021-9991(03)00097-4 ◽

2003 ◽

Vol 187 (1) ◽

pp. 230-254 ◽

Author(s):

Weizhu Bao ◽

Weijun Tang

Keyword(s):

Ground State ◽

Energy Functional ◽

Ground State Solution ◽

Einstein Condensate ◽

State Solution ◽

Bose Einstein Condensate ◽

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A combined discontinuous Galerkin method for the dipolar Bose–Einstein condensation

Journal of Computational Physics ◽

10.1016/j.jcp.2014.07.013 ◽

2014 ◽

Vol 275 ◽

pp. 363-376 ◽

Author(s):

Xiang-Gui Li ◽

Jiang Zhu ◽

Rong-Pei Zhang ◽

Shengshan Cao

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Einstein Condensation ◽

Bose Einstein Condensation ◽

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A novel domain decomposition framework for the ground state solution of Bose–Einstein condensates

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.06.014 ◽

2020 ◽

Vol 80 (5) ◽

pp. 1287-1300

Author(s):

Fei Xu ◽

Qiumei Huang ◽

Hongkun Ma

Keyword(s):

Domain Decomposition ◽

Ground State ◽

Ground State Solution ◽

State Solution ◽

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An analysis of finite-dimensional approximations for the ground state solution of Bose–Einstein condensates

Nonlinearity ◽

10.1088/0951-7715/17/2/010 ◽

2003 ◽

Vol 17 (2) ◽

pp. 541-550 ◽

Author(s):

Aihui Zhou

Keyword(s):

Ground State ◽

Ground State Solution ◽

State Solution ◽

Finite Dimensional ◽

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Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow

SIAM Journal on Scientific Computing ◽

10.1137/s1064827503422956 ◽

2004 ◽

Vol 25 (5) ◽

pp. 1674-1697 ◽

Author(s):

Weizhu Bao ◽

Qiang Du

Keyword(s):

Ground State ◽

Gradient Flow ◽

Ground State Solution ◽

State Solution ◽

Normalized Gradient ◽

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