Discontinuous finite elements for the 1D transport equation. Acceleration by diffusion method

DOI10.1080/00411459508206023zbMath0871.65115OpenAlexW1986294178MaRDI QIDQ4337839

S. Akesbi, Pierre Lesaint

Publication date: 1 October 1997

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459508206023

zbMATH Keywords

convergenceconvergence accelerationiterative processlinear integro-differential equationfixed point algorithmneutron transport equationdiffusion methoddiscontinuous finite element method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70)

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CONVERGENCE OF A DISCONTINUOUS GALERKIN SCHEME FOR THE NEUTRON TRANSPORT ⋮ AN OPTIMALITY CONDITION FOR THE ASSEMBLY DISTRIBUTION IN A NUCLEAR REACTOR

Cites Work

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• Finite element methods for symmetric hyperbolic equations
• Symmetric positive linear differential equations
• Local boundary conditions for dissipative symmetric linear differential operators
• Unconditionally stable diffusion-acceleration of the transport equation

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