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arXiv · 2510.05368

Finite element analysis of an eigenvalue problem arising from neutron transport

Nicolás A. Barnafi·Felipe Lepe·Francisca Muñoz Riquelme
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Abstract

In two and three dimensions, we analyze a finite element method to approximate the solutions of an eigenvalue problem arising from neutron transport. We derive the eigenvalue problem of interest, which results to be non-symmetric. Under a standard finite element approximation based on piecewise polynomials of degree $k \geq 1$, and under the framework of the compact operators theory, we prove convergence and error estimates of the proposed method. We report a series of numerical tests in order confirm the theoretical results.

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Nicolás A. Barnafi, Felipe Lepe, Francisca Muñoz Riquelme. 2025-10-06. Finite element analysis of an eigenvalue problem arising from neutron transport. https://arxiv.org/abs/2510.05368

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