2019 journal article

Iteration Methods with Multigrid in Energy for Eigenvalue Neutron Diffusion Problems

NUCLEAR SCIENCE AND ENGINEERING, 193(8), 803–827.

By: L. Cornejo n, D. Anistratov n & K. Smith*

author keywords: Neutron diffusion; eigenvalue problems; multigrid methods; multilevel iteration methods
TL;DR: Nonlinear multilevel methods with multiple grids in energy for solving the k-eigenvalue problem for multigroup neutron diffusion equations and multigrid-in-energy algorithms based on a nonlinear projection operator and several advanced prolongation operators are presented. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 5, 2019

2017 journal article

Stability analysis of nonlinear two-grid method for multigroup neutron diffusion problems

JOURNAL OF COMPUTATIONAL PHYSICS, 346, 278–294.

By: D. Anistratov n, L. Cornejo n & J. Jones n

author keywords: Multigroup neutron diffusion equations; Iteration methods; Eigenvalue problems; Fourier analysis
TL;DR: The developed analysis enables us to predict convergence properties of this two-grid method in different types of problems, and results of problems in 2D Cartesian geometry are presented to confirm theoretical predictions. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2016 journal article

Nonlinear Diffusion Acceleration Method with Multigrid in Energy for k-Eigenvalue Neutron Transport Problems

NUCLEAR SCIENCE AND ENGINEERING, 184(4), 514–526.

By: L. Cornejo n & D. Anistratov n

author keywords: Neutron transport; eigenvalue problems; iteration methods
TL;DR: A multilevel method for solving multigroup neutron transport k-eigenvalue problems in two-dimensional Cartesian geometry based on the nonlinear diffusion acceleration (NDA) method, effective in solving the multigroup NDA low-order equations. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

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