@inproceedings{1261bf750541426296bfeeef8738cedb,
title = "Stable and high order accurate heat transfer",
abstract = "This paper analyzes stability and convergence properties of a conjugate heat transfer problem in one space dimension. The energy method is used to derive boundary and interface conditions and to prove that the semi-discrete problem is stable. The numerical scheme is implemented using 2nd-, 3rd- and 4th-order finite difference operators on Summation-By-Parts (SBP) form. The boundary and interface conditions are implemented weakly using the Simultaneous Approximation Term (SAT).",
keywords = "Coupling, Finite differences, High order, Stability, Summation-by-parts, Well-posedness",
author = "Jens Lindstr{\"o}m and Jan Nordstr{\"o}m",
note = "Publisher Copyright: {\textcopyright} SACAM.; 7th South African Conference on Computational and Applied Mechanics, SACAM 2010 ; Conference date: 10-01-2010 Through 13-01-2010",
year = "2010",
language = "English",
series = "7th South African Conference on Computational and Applied Mechanics, SACAM 2010",
publisher = "South African Association for Theoretical and Applied Mechanics (SAAM)",
pages = "75--85",
editor = "Schalk Kok and Inglis, {Helen Mary} and Wilke, {Daniel Nicolas}",
booktitle = "7th South African Conference on Computational and Applied Mechanics, SACAM 2010",
}