Dual basis and characteristic discontinuous finite element discretizations for the Boltzmann transport equation

Dual Basis ◽

Boltzmann Transport ◽

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

10.1016/j.anucene.2014.06.050 ◽

2014 ◽

Vol 73 ◽

pp. 506-526 ◽

Cited By ~ 5

Author(s):

Peter G. Maginot ◽

Jean C. Ragusa ◽

Jim E. Morel

Keyword(s):

Finite Element ◽

Transport Equation ◽

Cross Sections ◽

Neutron Transport ◽

Neutron Transport Equation ◽

Spatially Varying ◽

Discontinuous finite element space-angle treatment of the first order linear Boltzmann transport equation with magnetic fields: Application to MRI-guided radiotherapy

Medical Physics ◽

10.1118/1.4937933 ◽

2015 ◽

Vol 43 (1) ◽

pp. 195-204 ◽

Cited By ~ 9

Author(s):

J. St. Aubin ◽

A. Keyvanloo ◽

B. G. Fallone

Keyword(s):

Finite Element ◽

Magnetic Fields ◽

Transport Equation ◽

Boltzmann Transport ◽

Element Space ◽

First Order ◽

Space Angle ◽

Mri Guided

Optimal discontinuous finite element methods for the Boltzmann transport equation with arbitrary discretisation in angle

10.1016/j.anucene.2008.01.023 ◽

2008 ◽

Vol 35 (9) ◽

pp. 1741-1759 ◽

Cited By ~ 5

Author(s):

S.R. Merton ◽

C.C. Pain ◽

R.P. Smedley-Stevenson ◽

A.G. Buchan ◽

M.D. Eaton

Keyword(s):

Finite Element ◽

Transport Equation ◽

Finite Element Methods ◽

Boltzmann Transport ◽

Discontinuous Finite Element

Modified least-squares finite element method for solving the Boltzmann transport equation with spherical harmonic angular approximation

10.1016/j.anucene.2019.107126 ◽

2020 ◽

Vol 140 ◽

pp. 107126 ◽

Cited By ~ 1

Author(s):

Chao Fang ◽

Hongchun Wu ◽

Liangzhi Cao ◽

Yunzhao Li ◽

Jianxin Miao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Transport Equation ◽

Least Squares ◽

Spherical Harmonic ◽

Boltzmann Transport ◽

Element Method

Analysis of ``p''-Multigrid for Continuous and Discontinuous Finite Element Discretizations

16th AIAA Computational Fluid Dynamics Conference ◽

10.2514/6.2003-3989 ◽

2003 ◽

Cited By ~ 40

Author(s):

Brian Helenbrook ◽

Dimitri Mavriplis ◽

Harold Atkins

Keyword(s):

Finite Element ◽

A spatially adaptive grid-refinement approach for the finite element solution of the even-parity Boltzmann transport equation

10.1016/j.anucene.2007.02.015 ◽

2007 ◽

Vol 34 (7) ◽

pp. 600-613 ◽

Cited By ~ 15

Author(s):

Anwar M. Mirza ◽

Shaukat Iqbal ◽

Faizur Rahman

Keyword(s):

Finite Element ◽

Transport Equation ◽

Adaptive Grid ◽

Finite Element Solution ◽

Grid Refinement ◽

Element Solution ◽

Boltzmann Transport ◽

Spatially Adaptive ◽

Adaptive Grid Refinement

TU-AB-BRC-01: Spherical Harmonic Based Finite Element Method (SHFEM): A New Angular Discretization of Linear Boltzmann Transport Equation for Accurate Dose Calculation

Medical Physics ◽

10.1118/1.4957395 ◽

2016 ◽

Vol 43 (6Part32) ◽

pp. 3729-3730

Author(s):

X Hong ◽

G Chen ◽

H Gao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Transport Equation ◽

Spherical Harmonic ◽

Dose Calculation ◽

Boltzmann Transport ◽

Accurate Dose ◽

Angular Discretization ◽

Element Method

A sub-grid scale finite element agglomeration multigrid method with application to the Boltzmann transport equation

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4350 ◽

2012 ◽

Vol 92 (3) ◽

pp. 318-342 ◽

Cited By ~ 6

Author(s):

A.G. Buchan ◽

C.C. Pain ◽

A.P. Umpleby ◽

R.P. Smedley-Stevenson

Keyword(s):

Finite Element ◽

Transport Equation ◽

Multigrid Method ◽

Boltzmann Transport

The Inner-Element Subgrid Scale Finite Element Method for the Boltzmann Transport Equation

Nuclear Science and Engineering ◽

10.13182/nse08-82 ◽

2010 ◽

Vol 164 (2) ◽

pp. 105-121 ◽

Cited By ~ 23

Author(s):

Andrew G. Buchan ◽

Adam S. Candy ◽

Simon R. Merton ◽

Christopher C. Pain ◽

Justin I. Hadi ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Transport Equation ◽

Subgrid Scale ◽

Boltzmann Transport ◽

Element Method

An Investigation of Continuous and Discontinuous Finite-Element Discretizations on Benchmark 3D Turbulent Flows (Invited)

2018 AIAA Aerospace Sciences Meeting ◽

10.2514/6.2018-1569 ◽

2018 ◽

Cited By ~ 5

Author(s):

Behzad Reza Ahrabi ◽

Michael J. Brazell ◽

Dimitri J. Mavriplis

Keyword(s):

Finite Element ◽

Turbulent Flows ◽