Least-Squares Finite-Element Solution of the Neutron Transport Equation in Diffusive Regimes

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142996299708 ◽

1998 ◽

Vol 35 (2) ◽

pp. 806-835 ◽

Author(s):

Thomas A. Manteuffel ◽

Klaus J. Ressel

Keyword(s):

Finite Element ◽

Transport Equation ◽

Least Squares ◽

Neutron Transport ◽

Finite Element Solution ◽

Element Solution ◽

Neutron Transport Equation

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Parallel Algorithms for the Least-Squares Finite Element Solution of the Neutron Transport Equation

Recent Advances in Parallel Virtual Machine and Message Passing Interface - Lecture Notes in Computer Science ◽

10.1007/3-540-45255-9_19 ◽

2000 ◽

pp. 121-128

Author(s):

E. Varin ◽

R. Roy ◽

G. Samba

Keyword(s):

Finite Element ◽

Parallel Algorithms ◽

Transport Equation ◽

Least Squares ◽

Neutron Transport ◽

Finite Element Solution ◽

Element Solution ◽

Neutron Transport Equation

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A multi group finite-element solution of the neutron transport equation—II

Annals of Nuclear Energy ◽

10.1016/0306-4549(85)90105-7 ◽

1985 ◽

Vol 12 (5) ◽

pp. 217-231 ◽

Author(s):

J. Wood

Keyword(s):

Finite Element ◽

Transport Equation ◽

Neutron Transport ◽

Finite Element Solution ◽

Element Solution ◽

Neutron Transport Equation

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A multigroup finite-element solution of the neutron transport equation—I

Annals of Nuclear Energy ◽

10.1016/0306-4549(84)90054-9 ◽

1984 ◽

Vol 11 (5) ◽

pp. 229-243 ◽

Author(s):

J. Wood ◽

C. De Oliveira

Keyword(s):

Finite Element ◽

Transport Equation ◽

Neutron Transport ◽

Finite Element Solution ◽

Element Solution ◽

Neutron Transport Equation

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A multigroup finite-element solution of the neutron transport equation—III

Annals of Nuclear Energy ◽

10.1016/0306-4549(86)90059-9 ◽

1986 ◽

Vol 13 (9) ◽

pp. 479-491 ◽

Author(s):

J. Wood ◽

M.M.R. Williams

Keyword(s):

Finite Element ◽

Transport Equation ◽

Neutron Transport ◽

Finite Element Solution ◽

Element Solution ◽

Neutron Transport Equation

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Least-Squares Finite Element Discretization of the Neutron Transport Equation in Spherical Geometry

SIAM Journal on Scientific Computing ◽

10.1137/140975152 ◽

2015 ◽

Vol 37 (5) ◽

pp. S71-S89 ◽

Author(s):

C. Ketelsen ◽

T. Manteuffel ◽

J. B. Schroder

Keyword(s):

Finite Element ◽

Transport Equation ◽

Least Squares ◽

Neutron Transport ◽

Spherical Geometry ◽

Neutron Transport Equation ◽

Finite Element Discretization ◽

Element Discretization

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A least-squares finite-element Sn method for solving first-order neutron transport equation

Nuclear Engineering and Design ◽

10.1016/j.nucengdes.2006.10.024 ◽

2007 ◽

Vol 237 (8) ◽

pp. 823-829 ◽

Author(s):

Hai-Tao Ju ◽

Hong-Chun Wu ◽

Yong-Qiang Zhou ◽

Liang-Zhi Cao ◽

Dong Yao ◽

...

Keyword(s):

Finite Element ◽

Transport Equation ◽

Least Squares ◽

Neutron Transport ◽

Neutron Transport Equation ◽

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A Boundary Functional for the Least-Squares Finite- Element Solution of Neutron Transport Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142998344706 ◽

1999 ◽

Vol 37 (2) ◽

pp. 556-586 ◽

Author(s):

Thomas A. Manteuffel ◽

Klaus J. Ressel ◽

Gerhard Starke

Keyword(s):

Finite Element ◽

Least Squares ◽

Neutron Transport ◽

Finite Element Solution ◽

Element Solution ◽

Transport Problems

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A finite element approach for treating the energy variable in the numerical solution of the neutron transport equation

Transport Theory and Statistical Physics ◽

10.1080/00411458608212681 ◽

1986 ◽

Vol 15 (4) ◽

pp. 449-478 ◽

Author(s):

E. J. Allen

Keyword(s):

Finite Element ◽

Numerical Solution ◽

Transport Equation ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Finite Element Approach ◽

Element Approach ◽

Energy Variable

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Discontinuous finite element discretizations for the SN neutron transport equation in problems with spatially varying cross sections

Annals of Nuclear Energy ◽

10.1016/j.anucene.2014.06.050 ◽

2014 ◽

Vol 73 ◽

pp. 506-526 ◽

Author(s):

Peter G. Maginot ◽

Jean C. Ragusa ◽

Jim E. Morel

Keyword(s):

Finite Element ◽

Transport Equation ◽

Cross Sections ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Finite Element Discretizations ◽

Discontinuous Finite Element ◽

Spatially Varying ◽

Element Discretizations

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Nodal finite element approximations for the neutron transport equation

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2010.04.010 ◽

2010 ◽

Vol 80 (11) ◽

pp. 2168-2176 ◽

Author(s):

Jean-Pierre Hennart ◽

Edmundo del Valle

Keyword(s):

Finite Element ◽

Transport Equation ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Finite Element Approximations

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