Luke R. Cornejo

Works (3)

Updated: July 5th, 2023 15:37

2019 article

Iteration Methods with Multigrid in Energy for Eigenvalue Neutron Diffusion Problems

Cornejo, L. R., Anistratov, D. Y., & Smith, K. (2019, March 22). Nuclear Science and Engineering.

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

author keywords: Neutron diffusion; eigenvalue problems; multigrid methods; multilevel iteration methods
topics (OpenAlex): Advanced Numerical Methods in Computational Mathematics; Nuclear reactor physics and engineering; Numerical methods in inverse problems
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 Goals Color Wheel
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 5, 2019

2017 article

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

Anistratov, D. Y., Cornejo, L. R., & Jones, J. P. (2017, June 14). Journal of Computational Physics.

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

author keywords: Multigroup neutron diffusion equations; Iteration methods; Eigenvalue problems; Fourier analysis
topics (OpenAlex): Nuclear reactor physics and engineering; Nuclear Physics and Applications; Nuclear Materials and Properties
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 Goals Color Wheel
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2016 article

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

Cornejo, L. R., & Anistratov, D. Y. (2016, November 9). Nuclear Science and Engineering.

By: L. Cornejo n & D. Anistratov n

author keywords: Neutron transport; eigenvalue problems; iteration methods
topics (OpenAlex): Nuclear reactor physics and engineering; Magnetic confinement fusion research; Nuclear Materials and Properties
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 Goals Color Wheel
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

Citation Index includes data from a number of different sources. If you have questions about the sources of data in the Citation Index or need a set of data which is free to re-distribute, please contact us.

Certain data included herein are derived from the Web of Science© and InCites© (2026) of Clarivate Analytics. All rights reserved. You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.