WIAS Preprint No. 2410, (2017)

Finite elements for scalar convection-dominated equations and incompressible flow problems -- A never ending story?


  • John, Volker
    ORCID: 0000-0002-2711-4409
  • Knobloch, Petr
  • Novo, Julia

2010 Mathematics Subject Classification

  • 65M60 65N30


  • convection-dominated problems, incompressible flow problems, finite element analysis, recent results, open problems




The contents of this paper is twofold. First, important recent results concerning finite element methods for convection-dominated problems and incompressible flow problems are described that illustrate the activities in these topics. Second, a number of, in our opinion, important problems in these fields are discussed.

Appeared in

  • Comput. Vis. Sci., 19 (2018), pp. 47--63 .

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