Paper Info
Title
Reliable anisotropic-adaptive discontinuous Galerkin method for simplified PN approximations of radiative transfer.
Abstract
In this paper we present the analysis for the error estimator for radiative transfer problems presented in Giani and Seaid (2016) where we showed the capabilities of the error estimator to accurately drive the adaptivity to resolve steep boundary layers, which are among the difficulties that most numerical methods fail to resolve accurately. We prove reliability for the error estimator in terms of a global upper bound of the error measured in the natural norm. We present a series of numerical experiments to test the efficiency of this approach within a fully automated hp-adaptive refinement algorithm.
Year
DOI
Venue
2018
10.1016/j.cam.2017.12.039
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
65N30,65N15,65N50,82D20
Discontinuous Galerkin method,Anisotropy,Adaptive refinement,Upper and lower bounds,Mathematical analysis,Approximations of π,Numerical analysis,Radiative transfer,Mathematics,Estimator
Journal
Volume
Issue
ISSN
337
C
0377-0427
Citations 
PageRank 
References 
0
0.34
8
Authors
1
Name
Order
Citations
PageRank
Stefano Giani1369.55