• Corpus ID: 220831406

A locally modified second-order finite element method for interface problems

@article{Frei2020ALM,
  title={A locally modified second-order finite element method for interface problems},
  author={Stefan Frei and Gozel Judakova and Thomas Richter},
  journal={ArXiv},
  year={2020},
  volume={abs/2007.13906}
}
The locally modified finite element method, which is introduced in [Frei, Richter: SINUM 52(2014), p. 2315-2334] is a simple fitted finite element method that is able to resolve weak discontinuities in interface problems. The method is based on a fixed structured coarse mesh, which is then refined into sub-elements to resolve an interior interface. In this work, we extend the locally modified finite element method to second order using an isoparametric approach in the interface elements… 

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