@TechReport{	  it:2009-011,
  author	= {Jan Nordstr{\"o}m and Sofia Eriksson},
  title		= {Well Posed, Stable and Weakly Coupled Fluid Structure
		  Interaction Problems},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2009},
  number	= {2009-011},
  month		= apr,
  abstract	= {We investigate problems of fluid structure interaction
		  type and aim for a formulation that leads to a well posed
		  problem and a stable numerical procedure. Our first
		  objective is to investigate if the generally accepted
		  formulations of the FSI problems are the only possible ones.
		  
		  Our second objective is to derive a numerical coupling
		  which is truly stable. To accomplish that we will use a
		  weak coupling procedure and employ summation- by-parts
		  operators and penalty terms. We compare the weak coupling
		  with other common procedures. We also study the effect of
		  high order accurate schemes.
		  
		  In multiple dimensions this is a formidable task and for
		  that reason we start by investigating the simplest possible
		  model problem available. As a flow model we use the
		  linearized Euler equations in one dimension and as the
		  structure model we consider a spring.}
}