A generalized finite element formulation for arbitrary basis functions : from isogeometric analysis to XFEM

@inproceedings{Benson2010AGF,
  title={A generalized finite element formulation for arbitrary basis functions : from isogeometric analysis to XFEM},
  author={David J. Benson and Yuri Bazilevs and Emmanuel de Luycker and Ming-Chen Hsu and Michael A. Scott and Thomas J. R. Hughes and Ted Belytschko},
  year={2010}
}
Many of the formulations of cm-rent research interest, including iosogeometric methods and the extended finite element method, use nontraditional basis functions. Some, such as subdivision surfaces, may not have convenient analytical representations. The concept of an element, if appropriate at all, no longer coincides with the traditional definition. Developing a new software for each new class of basis functions is a large research burden, especially, if the problems involve large… CONTINUE READING

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