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

Download Full-text

Analysis of a block Gauss-Seidel iterative method for a finite element discretization of the neutron transport equation

Transport Theory and Statistical Physics ◽

10.1080/00411458508211669 ◽

1985 ◽

Vol 14 (1) ◽

pp. 35-62 ◽

Author(s):

Leonard J. Lorence ◽

William R. Martin ◽

Mitchell Luskin

Keyword(s):

Finite Element ◽

Iterative Method ◽

Transport Equation ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Finite Element Discretization ◽

Element Discretization

Download Full-text

A spherical harmonics—Finite element discretization of the self-adjoint angular flux neutron transport equation

Nuclear Engineering and Design ◽

10.1016/j.nucengdes.2007.04.004 ◽

2007 ◽

Vol 237 (23) ◽

pp. 2232-2239 ◽

Author(s):

Liangzhi Cao ◽

Hongchun Wu

Keyword(s):

Finite Element ◽

Transport Equation ◽

Spherical Harmonics ◽

Neutron Transport ◽

The Self ◽

Neutron Transport Equation ◽

Finite Element Discretization ◽

Element Discretization

Download Full-text

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

Download Full-text

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 ◽

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

SOLUTION OF THE TWO‐DIMENSIONAL NEUTRON TRANSPORT EQUATION BY A HIERARCHICAL FINITE ELEMENT METHOD

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/eb017514 ◽

1993 ◽

Vol 3 (1) ◽

pp. 35-47 ◽

Author(s):

AWONO ONANA ◽

S. YUNKAP KWANKAM ◽

MVOGO NGONO JOSEPH

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Transport Equation ◽

Neutron Transport ◽

Two Dimensional ◽

Neutron Transport Equation ◽

Hierarchical Finite Element Method ◽

Element Method ◽

Hierarchical Finite Element

Download Full-text