Coupling of transport and diffusion models in linear transport theory

Mathematical Modelling and Numerical Analysis

Volumn 36, Issue 1, 2002, Pages 69-86

  Bal, Guillaume ^a   Maday, Yvon ^b  

^a Columbia University ^*  (United States)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

Diffuse tomography; Diffusion approximation; Domain decomposition; Even parity formulation; Linear transport

Indexed keywords

EID: 0036012032     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:2002007     Document Type: Article

References (31)

1. Diffusion synthetic acceleration methods for the diamond-differenced discrete-ordinates equations
2. Homogenization of the criticality spectral equation in neutron transport
3. The finite element model for the propagation of light in scattering media: A direct method for domains with nonscattering regions
4. First-order corrector for the homogenization of the criticality eigenvalue problem in the even parity formulation of the neutron transport
5. Spatially varying discrete ordinates methods in XY-geometry
6. Transport through diffusive and non-diffusive regions, embedded objects, and clear layers
7. Wave transport along surfaces with random impedance
8. Diffusion approximation of radiative transfer problems with interfaces
9. Boundary layers and homogenization of transport processes
10. Coupling Boltzmann and Euler equations without overlapping
11. p pour des espaces de fonctions de la neutronique
12. An investigation of light transport through scattering bodies with non-scattering regions
13. On the coupling of two-dimensional hyperbolic and elliptic equations: Analytical and numerical approach
14. Regularity of the moments of the solution of a transport equation
15. Comparison of finite-difference transport and diffusion calculations for photon migration in homogeneous and heterogeneous tissues
16. Méthodes de Monte-Carlo pour les équations de transport et de diffusion
17. Moment realizability and the validity of the Navier-Stokes equations for rarefied gas dynamics
18. A Relaxation procedure for domain decomposition methods using finite elements
19. Méthodes mathématiques en neutronique
20. Transport equations for elastic and other waves in random media
21. Seismic wave propagation and scattering in the heterogeneous earth
22. Asymptotic analysis of a coupled system of kinetic equations
23. Application of moment realizability criteria for the coupling of the Boltzmann and Euler equations