Addressing integration error for polygonal finite elements through polynomial projections : A patch test connection

@inproceedings{Talischi2014AddressingIE,
  title={Addressing integration error for polygonal finite elements through polynomial projections : A patch test connection},
  author={Cameron Talischi and Glaucio H. Paulino},
  year={2014}
}
Polygonal finite elements generally do not pass the patch test as a result of quadrature error in the evaluation of weak form integrals. In this work, we examine the consequences of lack of polynomial consistency and show that it can lead to a deterioration of convergence of the finite element solutions. We propose a general remedy, inspired by techniques in the recent literature of mimetic finite differences, for restoring consistency and thereby ensuring the satisfaction of the patch test and… CONTINUE READING

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