Coupling of transport and diffusion models in linear transport theory

DOI10.1051/m2an:2002007zbMath0995.45008OpenAlexW2131992485MaRDI QIDQ4531298

Guillaume Bal, Yvon Maday

Publication date: 29 May 2002

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2002__36_1_69_0

zbMATH Keywords

diffusion approximationdomain decompositiondiffusion equationBoltzmann equationlinear transportdiffuse tomographyeven parity formulation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Integro-partial differential equations (45K05) Biomedical imaging and signal processing (92C55) Transport processes in time-dependent statistical mechanics (82C70) Initial value problems for second-order parabolic equations (35K15)

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Cites Work

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• Regularity of the moments of the solution of a transport equation
• A relaxation procedure for domain decomposition methods using finite elements
• Boundary layers and homogenization of transport processes
• Transport equations for elastic and other waves in random media
• Monte-Carlo methods for the transport and diffusion equations
• Application of Moment Realizability Criteria for the Coupling of the Boltzmann and Euler Equations
• Transport Through Diffusive and Nondiffusive Regions, Embedded Objects, and Clear Layers
• Asymptotic analysis of a coupled system of kinetic equations
• Diffusion Approximation of Radiative Transfer Problems with Interfaces
• SPATIALLY VARYING DISCRETE ORDINATES METHODS IN XY-GEOMETRY
• First-Order Corrector for the Homogenization of the Criticality Eigenvalue Problem in the Even Parity Formulation of the Neutron Transport
• Homogenization of the criticality spectral equation in neutron transport
• Moment realizability and the validity of the Navier–Stokes equations for rarefied gas dynamics