The present review covers the heat transfer literature published in 2004 in English
language, including some translations of foreign language papers. Though extensive, some …

In celebration of the 50th anniversary of the simplified Pn equations (SPn), this work reviews
the theory underpinning the SPnequations for neutral particle transport. We recount the …

We present an analytic study of an optimal boundary control problem for the diffusive SP_1-
system modeling radiative heat transfer. The cost functional is of tracking-type and the …

This article deals with an efficient strategy for numerically simulating radiative transfer
phenomena using distributed computing. The finite element method alongside the discrete …

We consider an inverse problem for a system of equations modeling quasi-static conductive
and radiative heat transfer. The problem consists in finding the right-hand side of the heat …

Due to its integro-differential nature, deriving schemes for numerically solving the radiative
transfer equation (RTE) is challenging. Most solvers are efficient in specific scenarios …

Simplified approximate models for radiation are proposed to study thermal effects in low
Mach flow in open tunnels. The governing equations for fluid dynamics are derived by …

Two Krylov subspace methods, the GMRES and the BiCGSTAB, are analyzed for solving the
linear systems arising from the mixed finite element discretization of the discrete ordinates …

We investigate the effectiveness of the partition-of-unity finite element method for transient
conduction–radiation problems in diffusive grey media. The governing equations consist of a …

The steady-state simplified PN (SPN) approximations to the linear Boltzmann equation have
been proven to be asymptotically higher-order corrections to the diffusion equation in certain …