Efficient parallel resolution of the simplified transport equations in mixed-dual formulation

DOI10.1016/j.jcp.2010.11.047zbMath1217.82127OpenAlexW1986589373MaRDI QIDQ630443

B. Lathuilière, Pierre Ramet, Jean Roman, Maxime Barrault

Publication date: 17 March 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.11.047

zbMATH Keywords

parallelismdomain decomposition methodRaviart-Thomas finite elementHPCsimplified transport equation

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05) Nuclear reactor theory; neutron transport (82D75)

Related Items (4)

Schwarz type preconditioners for the neutron diffusion equation ⋮ Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation ⋮ Domain decomposition methods for the diffusion equation with low-regularity solution ⋮ Efficient parallel solution of the 3D stationary Boltzmann transport equation for diffusive problems

Cites Work

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• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• Mixed-hybrid discretization methods for the \(P_{1}\) equations
• On the Use of Lagrange Multipliers in Domain Decomposition for Solving Elliptic Problems
• Discretization methods and iterative solvers based on domain decomposition

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