Problems involving irregularly shaped domains or embedded interfaces occur in a wide range of mathematical models. These include models in computational biology, fluid mechanics, and solidification. Numerical solutions for this type of problem can be difficult to obtain, and therefore a variety of methods have been devised to solve them. One method that has been shown to perform well in comparison with other methods is the eXtended Finite Element Method (X-FEM).In this problem, the location of the triple point is defined as the intersection of the zero contours of these two level sets. ... the solidification front lies in the gas phase, an extrapolation procedure is necessary for the interface speed in this region.

Title | : | The EXtended Finite Element Method for Special Problems with Moving Interfaces |

Author | : | Bryan G. Smith |

Publisher | : | ProQuest - 2008 |

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