A hybrid (Monte Carlo/deterministic) approach for multi-dimensional radiation transport

DOI10.1016/j.jcp.2011.06.029zbMath1231.82059arXiv1105.1449OpenAlexW2077512328MaRDI QIDQ654581

Ian Langmore, Anthony B. Davis, Guillaume Bal

Publication date: 29 December 2011

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

Full work available at URL: https://arxiv.org/abs/1105.1449

zbMATH Keywords

Monte Carloimportance samplingvariance reductionhybrid methodsremote sensing3D renderinglinear transport

Mathematics Subject Classification ID

Meteorology and atmospheric physics (86A10) Transport processes in time-dependent statistical mechanics (82C70)

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Variance reduction method for particle transport equation in spherical geometry ⋮ A hybrid transport-diffusion model for radiative transfer in absorbing and scattering media ⋮ A cell-based population control of Monte Carlo particles for the global variance reduction for transport equations ⋮ Theoretical and numerical analysis of an initial-boundary value problem for the radiative transfer equation with Fresnel matching conditions ⋮ Moment-preserving and mesh-adaptive reweighting method for rare-event sampling in Monte-Carlo algorithms ⋮ Reduced order modeling for accelerated Monte Carlo simulations in radiation transport ⋮ An Adjoint Technique Applied to Slab-Geometry Source-Detector Problems Using the Generalized Spectral Green’s Function Nodal Method

Cites Work

• Efficient, automated Monte Carlo methods for radiation transport
• A new proof of geometric convergence for general transport problems based on sequential correlated sampling methods
• Variational variance reduction for particle transport eigenvalue calculations using Monte Carlo adjoint simulation.
• Inverse transport theory and applications
• Optical tomography in medical imaging
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