First-Order Corrector for the Homogenization of the Criticality Eigenvalue Problem in the Even Parity Formulation of the Neutron Transport

DOI10.1137/S0036141098338855zbMath0937.35007OpenAlexW1968567700MaRDI QIDQ4701918

Guillaume Bal

Publication date: 23 November 1999

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141098338855

zbMATH Keywords

numerical experimentsboundary layerhalf space problemasymptotic analysis of the corresponding eigenvaluesisotropic and periodically oscillating coefficients

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Motion of charged particles (78A35) Nuclear reactor theory; neutron transport (82D75) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (9)

SPATIALLY VARYING DISCRETE ORDINATES METHODS IN XY-GEOMETRY ⋮ Boundary layer tails in periodic homogenization ⋮ SPATIALLY VARYING DISCRETE ORDINATES METHODS IN XY-GEOMETRY ⋮ Coupling of transport and diffusion models in linear transport theory ⋮ Homogenization of a spectral equation with drift in linear transport ⋮ Homogenization problem in a domain with double oscillating boundary ⋮ Homogenization of the boundary value for the Neumann problem ⋮ DIFFUSION APPROXIMATION OF RADIATIVE TRANSFER EQUATIONS IN A CHANNEL ⋮ Homogenization of a spectral problem in neutronic multigroup diffusion.

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