Calculation of higher eigen-modes of the forward and adjoint neutron diffusion equations using IRAM algorithm based on domain decomposition

Annals of Nuclear Energy ◽

10.1016/j.anucene.2020.107463 ◽

2020 ◽

Vol 143 ◽

pp. 107463

Author(s):

Wenbin Wu ◽

Yingrui Yu ◽

Qi Luo ◽

Dong Yao ◽

Qing Li ◽

...

Keyword(s):

Domain Decomposition ◽

Diffusion Equations ◽

Neutron Diffusion

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A Hierarchical Domain Decomposition Boundary Element Method Applied to the Multiregion Problems of Neutron Diffusion Equations

Nuclear Science and Engineering ◽

10.13182/nse98-a1966 ◽

1998 ◽

Vol 129 (1) ◽

pp. 88-96 ◽

Author(s):

M. Dhandhang Purwadi ◽

M. Tsuji ◽

M. Narita ◽

M. Itagaki

Keyword(s):

Boundary Element Method ◽

Domain Decomposition ◽

Boundary Element ◽

Diffusion Equations ◽

Neutron Diffusion ◽

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Parallelization of the Hierarchical Domain Decomposition Boundary Element Method Applied to Multiregion Problem of Neutron Diffusion Equations

Journal of Nuclear Science and Technology ◽

10.1080/18811248.1999.9726223 ◽

1999 ◽

Vol 36 (5) ◽

pp. 403-412 ◽

Author(s):

Masashi TSUJI ◽

Hisatoshi SHIRAHAMA

Keyword(s):

Boundary Element Method ◽

Domain Decomposition ◽

Boundary Element ◽

Diffusion Equations ◽

Neutron Diffusion ◽

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A hierarchical domain decomposition boundary element method with a higher order polynomial expansion for solving 2-D multiregion neutron diffusion equations

Annals of Nuclear Energy ◽

10.1016/s0306-4549(00)00100-6 ◽

2001 ◽

Vol 28 (9) ◽

pp. 895-912 ◽

Author(s):

Gou Chiba ◽

Masashi Tsuji ◽

Yoichiro Shimazu

Keyword(s):

Boundary Element Method ◽

Domain Decomposition ◽

Boundary Element ◽

Higher Order ◽

Diffusion Equations ◽

Polynomial Expansion ◽

Neutron Diffusion ◽

Order Polynomial ◽

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Development of the Hierarchical Domain Decomposition Boundary Element Method for Solving the Three-Dimensional Multiregion Neutron Diffusion Equations

Journal of Nuclear Science and Technology ◽

10.1080/18811248.2001.9715081 ◽

2001 ◽

Vol 38 (8) ◽

pp. 664-673 ◽

Author(s):

Gou CHIBA ◽

Masashi TSUJI ◽

Yoichiro SHIMAZU

Keyword(s):

Boundary Element Method ◽

Domain Decomposition ◽

Boundary Element ◽

Three Dimensional ◽

Diffusion Equations ◽

Neutron Diffusion ◽

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Numerical solution of the 2D-neutron diffusion equations of a non-rectangular computational area with the wave digital concept

Nuclear Engineering and Design ◽

10.1016/j.nucengdes.2009.03.016 ◽

2009 ◽

Vol 239 (7) ◽

pp. 1275-1284

Author(s):

Thomas Lutter

Keyword(s):

Numerical Solution ◽

Diffusion Equations ◽

Neutron Diffusion

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Polynomial nodal method for solving neutron diffusion equations in hexagonal-z geometry

Annals of Nuclear Energy ◽

10.1016/s0306-4549(01)00083-4 ◽

2002 ◽

Vol 29 (9) ◽

pp. 1105-1117 ◽

Author(s):

Vyacheslav G. Zimin ◽

Denis M. Baturin

Keyword(s):

Diffusion Equations ◽

Neutron Diffusion ◽

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The method of recursive sums and integrals for solving multigroup neutron diffusion equations

Soviet Atomic Energy ◽

10.1007/bf01666641 ◽

1974 ◽

Vol 37 (4) ◽

pp. 1091-1093 ◽

Author(s):

V. Yu. Vasil'ev ◽

A. D. Dymnikov

Keyword(s):

Diffusion Equations ◽

Neutron Diffusion ◽

Multigroup Neutron

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Domain decomposition methods for a class of spatially heterogeneous delayed reaction–diffusion equations

Journal of Differential Equations ◽

10.1016/j.jde.2018.09.030 ◽

2019 ◽

Vol 266 (7) ◽

pp. 4204-4231 ◽

Author(s):

Taishan Yi ◽

Yuming Chen

Keyword(s):

Domain Decomposition ◽

Reaction Diffusion ◽

Decomposition Methods ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Domain Decomposition Methods ◽

Delayed Reaction

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New substructuring domain decomposition methods for advection–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(99)00317-9 ◽

2000 ◽

Vol 116 (2) ◽

pp. 201-220 ◽

Author(s):

Luigi C. Berselli ◽

Fausto Saleri

Keyword(s):

Domain Decomposition ◽

Decomposition Methods ◽

Diffusion Equations ◽

Domain Decomposition Methods ◽

Advection Diffusion

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Flux expansion nodal method for solving multigroup neutron diffusion equations in hexagonal-z geometry

Annals of Nuclear Energy ◽

10.1016/j.anucene.2005.06.011 ◽

2006 ◽

Vol 33 (4) ◽

pp. 370-376 ◽

Author(s):

Bangyang Xia ◽

Zhongsheng Xie

Keyword(s):

Diffusion Equations ◽

Neutron Diffusion ◽

Nodal Method ◽

Flux Expansion ◽

Multigroup Neutron

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