@TechReport{	  it:2009-027,
  author	= {Jens Lindstr{\"o}m and Jan Nordstr{\"o}m},
  title		= {A Stable and High Order Accurate Conjugate Heat Transfer
		  Problem},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2009},
  number	= {2009-027},
  month		= nov,
  abstract	= {This paper analyzes well-posedness and stability of a
		  conjugate heat transfer problem in one space dimension. We
		  study a model problem for heat transfer between a fluid and
		  a solid. The energy method is used to derive boundary and
		  interface conditions that make the continuous problem
		  well-posed and the semi-discrete problem 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. We investigate the spectrum of the
		  spatial discretization to determine which type of coupling
		  that gives attractive convergence properties. The rate of
		  convergence is verified using the method of manufactured
		  solutions.}
}