On the Computation of Free Boundaries

  • C. Cuvelier
Part of the Notes on Numerical Fluid Mechanics book series (volume 17)


Problems in which the solution of a (partial) differential equation has to satisfy certain conditions on the boundary of a prescribed domain are referred to as boundary-value problems. In many cases, however, the boundary of the domain is not known in advance but has to be determined as part of the solution. The term stationary free-boundary (SFB) is commonly used when the boundary is stationary and a steady-state exists. Moving free boundaries (MFB), on the other hand, are associated with time-dependent problems and the position of the boundary now is a function of time and space. In applications, SFB problems are usually of elliptic type, while MFB problems are often described by parabolic equations. We refer to [l] which presents a broad and detailed account of the mathematical (both analytical and numerical) solution of FB problems.


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Copyright information

© Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig 1987

Authors and Affiliations

  • C. Cuvelier
    • 1
  1. 1.Dept. of Mathematics and InformaticsDelft University of TechnologyThe Netherlands

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