Work

Construction, analysis and implementation of two nodal finite volume schemes for the P N model for particle transport in 2D

Year: 2025

Type: article

Abstract: In this paper, we present two new nodal finite volume schemes for the P N model on arbitrary polygonal meshes in 2D. We show that these schemes are well-defined, conservative and stable, finally we prove their convergence. We also present some numerical results.

Source: SMAI Journal of Computational Mathematics

DOI: 10.5802/smai-jcm.119

Authors: Christophe Buet, Stéphane Del Pino, Victor Fournet

Institutions: Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Université Paris-Saclay, CEA Paris-Saclay - Etablissement de Saclay, Laboratoire en Informatique Haute Performance pour le Calcul et la simulation, Sorbonne Université, Laboratoire Jacques-Louis Lions

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408459348

FWCI:

Cites: 25

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Related to: 10