A flexible nonlinear diffusion acceleration method for the S transport equations discretized with discontinuous finite elements

Journal of Computational Physics ◽

10.1016/j.jcp.2017.01.070 ◽

2017 ◽

Vol 338 ◽

pp. 107-136 ◽

Cited By ~ 9

Author(s):

Sebastian Schunert ◽

Yaqi Wang ◽

Frederick Gleicher ◽

Javier Ortensi ◽

Benjamin Baker ◽

...

Keyword(s):

Finite Elements ◽

Nonlinear Diffusion ◽

Transport Equations ◽

Discontinuous Finite Elements ◽

Acceleration Method

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Discontinuous Finite Elements for a Hyperbolic Problem with Singular Coefficient: A Convergence Theory for One-Dimensional Spherical Transport

SIAM Journal on Numerical Analysis ◽

10.1137/08073860x ◽

2010 ◽

Vol 48 (4) ◽

pp. 1555-1578

Author(s):

Eric A. Machorro

Keyword(s):

Finite Elements ◽

Convergence Theory ◽

Singular Coefficient ◽

Hyperbolic Problem ◽

One Dimensional ◽

Discontinuous Finite Elements

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Steady-state solution of a nonlinear diffusion-reaction problem with a discontinuous boundary condition using orthogonal collocation on finite elements

Chemical Engineering Science ◽

10.1016/0009-2509(88)85083-8 ◽

1988 ◽

Vol 43 (5) ◽

pp. 1206-1209 ◽

Cited By ~ 1

Keyword(s):

Boundary Condition ◽

Steady State ◽

Finite Elements ◽

Nonlinear Diffusion ◽

Steady State Solution ◽

State Solution ◽

Diffusion Reaction ◽

Orthogonal Collocation ◽

Discontinuous Boundary ◽

Reaction Problem

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DISCONTINUOUS FINITE ELEMENTS AND FINITE VOLUME VERSIONS OF THE LAX-FRIEDRICHS AND NESSYAHU-TADMOR SCHEMES FOR COMPRESSIBLE FLOWS ON UNSTRUCTURED GRIDS

Computational Fluid Dynamics Review 1998 ◽

10.1142/9789812812957_0012 ◽

1998 ◽

pp. 241-261 ◽

Cited By ~ 2

Author(s):

Paul ARMINJON ◽

Marie-Claude VIALLON ◽

Aziz MADRANE ◽

Lahcen KADDOURI

Keyword(s):

Finite Elements ◽

Finite Volume ◽

Compressible Flows ◽

Unstructured Grids ◽

Discontinuous Finite Elements

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Neutron transport criticality calculations using a parallel monolithic multilevel Schwarz preconditioner together with a nonlinear diffusion acceleration method

Annals of Nuclear Energy ◽

10.1016/j.anucene.2020.107342 ◽

2020 ◽

Vol 141 ◽

pp. 107342

Author(s):

Fande Kong

Keyword(s):

Nonlinear Diffusion ◽

Neutron Transport ◽

Acceleration Method ◽

Schwarz Preconditioner

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One-dimensional simulation of solute transfer in saturated–unsaturated porous media using the discontinuous finite elements method

Journal of Contaminant Hydrology ◽

10.1016/s0169-7722(01)00129-2 ◽

2001 ◽

Vol 51 (3-4) ◽

pp. 197-213 ◽

Cited By ~ 18

Author(s):

E.B. Diaw ◽

F. Lehmann ◽

Ph. Ackerer

Keyword(s):

Porous Media ◽

Finite Elements ◽

Finite Elements Method ◽

Unsaturated Porous Media ◽

Solute Transfer ◽

One Dimensional ◽

Discontinuous Finite Elements ◽

Dimensional Simulation

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Discrete Ordinates Quadratures Based on Linear and Quadratic Discontinuous Finite Elements over Spherical Quadrilaterals

Nuclear Science and Engineering ◽

10.13182/nse16-28 ◽

2017 ◽

Vol 185 (1) ◽

pp. 36-52 ◽

Cited By ~ 1

Author(s):

Cheuk Y. Lau ◽

Marvin L. Adams

Keyword(s):

Finite Elements ◽

Discrete Ordinates ◽

Discontinuous Finite Elements

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Consistent discontinuous finite elements in elastodynamics

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(99)00421-1 ◽

2000 ◽

Vol 190 (1-2) ◽

pp. 193-223 ◽

Cited By ~ 12

Author(s):

André Vinicius Celani Duarte ◽

Eduardo Gomes Dutra do Carmo ◽

Fernando Alves Rochinha

Keyword(s):

Finite Elements ◽

Discontinuous Finite Elements

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Review of "Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer"

AIAA Journal ◽

10.2514/1.30646 ◽

2007 ◽

Vol 45 (5) ◽

pp. 1150-1151

Author(s):

A. J. Baker

Keyword(s):

Heat Transfer ◽

Fluid Dynamics ◽

Finite Elements ◽

Discontinuous Finite Elements

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Drag Prediction Using Adaptive Discontinuous Finite Elements

51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2013-51 ◽

2013 ◽

Cited By ~ 4

Author(s):

Marco Ceze ◽

Krzysztof Fidkowski

Keyword(s):

Finite Elements ◽

Discontinuous Finite Elements ◽

Drag Prediction

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A new numerical method for solving the Boltzmann transport equation using the PN method and the discontinuous finite elements on unstructured and curved meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2019.07.001 ◽

2019 ◽

Vol 397 ◽

pp. 108801

Author(s):

Lahbib Bourhrara

Keyword(s):

Finite Elements ◽

Transport Equation ◽

Numerical Method ◽

Boltzmann Transport Equation ◽

Boltzmann Transport ◽

Discontinuous Finite Elements

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