Luke R. Cornejo

Works (3)

Updated: July 5th, 2023 15:37

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)
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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)
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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)
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UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

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