A fully coupled two-level Schwarz preconditioner based on smoothed aggregation for the transient multigroup neutron diffusion equations

Numerical Linear Algebra with Applications ◽

10.1002/nla.2162 ◽

2018 ◽

Vol 25 (3) ◽

pp. e2162 ◽

Author(s):

Fande Kong ◽

Yaqi Wang ◽

Sebastian Schunert ◽

John W. Peterson ◽

Cody J. Permann ◽

...

Keyword(s):

Diffusion Equations ◽

Neutron Diffusion ◽

Smoothed Aggregation ◽

Fully Coupled ◽

Multigroup Neutron ◽

Schwarz Preconditioner

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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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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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Three higher order analytical nodal methods for multigroup neutron diffusion equations

Annals of Nuclear Energy ◽

10.1016/j.anucene.2015.10.002 ◽

2016 ◽

Vol 87 ◽

pp. 561-568 ◽

Author(s):

Najib Guessous

Keyword(s):

Higher Order ◽

Diffusion Equations ◽

Neutron Diffusion ◽

Multigroup Neutron ◽

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04/02128 Discrete formulation for two-dimensional multigroup neutron diffusion equations

Fuel and Energy Abstracts ◽

10.1016/s0140-6701(04)94715-7 ◽

2004 ◽

Vol 45 (4) ◽

pp. 293

Keyword(s):

Diffusion Equations ◽

Neutron Diffusion ◽

Two Dimensional ◽

Discrete Formulation ◽

Multigroup Neutron

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A Variational Nodal Expansion Method for the Solution of Multigroup Neutron Diffusion Equations with Heterogeneous Nodes

Nuclear Science and Engineering ◽

10.13182/nse02-a2279 ◽

2002 ◽

Vol 141 (3) ◽

pp. 218-235 ◽

Author(s):

Makoto Tsuiki ◽

Sverre Hval

Keyword(s):

Expansion Method ◽

Diffusion Equations ◽

Neutron Diffusion ◽

Heterogeneous Nodes ◽

Nodal Expansion Method ◽

Multigroup Neutron

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A boundary element-response matrix method for the multigroup neutron diffusion equations

Annals of Nuclear Energy ◽

10.1016/s0306-4549(99)00026-2 ◽

1999 ◽

Vol 26 (15) ◽

pp. 1341-1369 ◽

Author(s):

M. Maiani ◽

B. Montagnini

Keyword(s):

Boundary Element ◽

Matrix Method ◽

Diffusion Equations ◽

Neutron Diffusion ◽

Response Matrix ◽

Multigroup Neutron

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Higher order analytical nodal methods in response-matrix formulation for the multigroup neutron diffusion equations

Annals of Nuclear Energy ◽

10.1016/s0306-4549(02)00015-4 ◽

2002 ◽

Vol 29 (15) ◽

pp. 1765-1778 ◽

Author(s):

N Guessous ◽

M Akhmouch

Keyword(s):

Higher Order ◽

Diffusion Equations ◽

Neutron Diffusion ◽

Response Matrix ◽

Matrix Formulation ◽

Multigroup Neutron ◽

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Numerical Solution of the Time- and Space-Dependent Multigroup Neutron Diffusion Equations

Nuclear Science and Engineering ◽

10.13182/nse70-a18881 ◽

1970 ◽

Vol 40 (1) ◽

pp. 91-100

Author(s):

W. R. Rhyne ◽

A. C. Lapsley

Keyword(s):

Numerical Solution ◽

Diffusion Equations ◽

Neutron Diffusion ◽

Time And Space ◽

Multigroup Neutron

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Three-dimensional h-adaptivity for the multigroup neutron diffusion equations

Progress in Nuclear Energy ◽

10.1016/j.pnucene.2008.11.005 ◽

2009 ◽

Vol 51 (3) ◽

pp. 543-555 ◽

Author(s):

Yaqi Wang ◽

Wolfgang Bangerth ◽

Jean Ragusa

Keyword(s):

Three Dimensional ◽

Diffusion Equations ◽

Neutron Diffusion ◽

Multigroup Neutron

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Discrete formulation for two-dimensional multigroup neutron diffusion equations

Annals of Nuclear Energy ◽

10.1016/s0306-4549(03)00222-6 ◽

2004 ◽

Vol 31 (3) ◽

pp. 231-253 ◽

Author(s):

Naser Vosoughi ◽

Ali A. Salehi ◽

Majid Shahriari

Keyword(s):

Diffusion Equations ◽

Neutron Diffusion ◽

Two Dimensional ◽

Discrete Formulation ◽

Multigroup Neutron

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