An Eulerian Finite Element Method for Elliptic Equations on Moving Surfaces

@inproceedings{Olshanskii2008AnEF,
  title={An Eulerian Finite Element Method for Elliptic Equations on Moving Surfaces},
  author={Alexander Yu. Olshanskii and Arnold Reusken and J{\"o}rg Grande},
  year={2008}
}
In this paper a new finite element approach for the discretization of elliptic partial differential equations on surfaces is treated. The main idea is to use finite element spaces that are induced by triangulations of an “outer” domain to discretize the partial differential equation on the surface. The method is particularly suitable for problems in which there is a coupling with a flow problem in an outer domain that contains the surface, for example, two-phase incompressible flow problems. We… CONTINUE READING

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