Radiation models for thermal flows at low Mach number
Journal of Computational Physics
Light transport in biological tissue based on the simplified spherical harmonics equations
Journal of Computational Physics
Towards computability of elliptic boundary value problems in variational formulation
Journal of Complexity
Multigrid Newton-Krylov method for radiation in diffusive semitransparent media
Journal of Computational and Applied Mathematics
Minimal energy surfaces on Powell--Sabin type triangulations
Applied Numerical Mathematics
Multivariate approximation by PDE splines
Journal of Computational and Applied Mathematics
Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes II
Journal of Computational Physics
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In this paper, we discuss the deterministic transport problem with Robin boundary conditions in optically diffusion medium. Existence and uniqueness for the such elliptic equation are given. An approximation of the photon density in frequency-domain is proposed by using a Galerkin method based on the tensorial B-splines. We propose the Gauss-Hermite quadrature formulation for the computation of the inverse Fourier transform of the temporal signal. This technique allows us to avoid the use of a method such as finite difference method. Error estimates are studied and some numerical examples are given.