An Accurate Space–Time Pseudospectral Method for Solving Nonlinear Multi-Dimensional Heat Transfer Problems
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-016-0827-0
Abstract: In this paper, we consider the numerical solution of the nonlinear one- and two-dimensional heat transfer problems subject to the given initial conditions and linear Robin boundary conditions. We propose a pseudospectral scheme in both… read more here.
Keywords: space time; time; transfer problems; heat transfer ... See more keywords
A combination of isogeometric technique and scaled boundary method for the solution of the steady-state heat transfer problems in arbitrary plane domain with Robin boundary
Sign Up to like & getrecommendations! Published in 2017 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2017.05.006
Abstract: Abstract The scaled boundary finite element method (SBFEM) has attracted considerable attention in recent years as a novel semi-analytical computational approach since only the boundary is discretized using finite element approach and the spatial dimension… read more here.
Keywords: iga; scaled boundary; method; transfer problems ... See more keywords
The inverse methods based on S-FEMs with an adaptive SVD regularization technique for solving Cauchy inverse heat transfer problems
Sign Up to like & getrecommendations! Published in 2019 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2019.07.001
Abstract: Abstract This paper presents three inverse models based on S-FEMs with adaptive singular value decomposition (SVD) regularization technique for solving inverse heat transfer problems of Cauchy type with noisy input data “measured” on the domain… read more here.
Keywords: heat; inverse; regularization technique; heat transfer ... See more keywords
New interface integration BEM for solving multi-medium nonlinear heat transfer problems
Sign Up to like & getrecommendations! Published in 2020 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2020.03.015
Abstract: Abstract In this paper, a new single interface integral equation method is established for solving non-linear multi-medium heat transfer problems with temperature- dependent thermal conductivity. At first, the boundary-domain integral equation for nonlinear heat transfer… read more here.
Keywords: medium; multi medium; transfer problems; heat transfer ... See more keywords
Asymptotic PN Approximation in Radiative Transfer Problems
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DOI: 10.1080/23324309.2020.1845738
Abstract: Abstract We study the validity of the time-dependent asymptotic PN approximation in radiative transfer of photons. The time-dependent asymptotic PN is an approximation which uses the standard PN equations with a closure that is based… read more here.
Keywords: approximation; approximation radiative; transfer problems; asymptotic approximation ... See more keywords