• Corpus ID: 246276103

Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods

@article{Stoter2022VariationallyCM,
  title={Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods},
  author={Stein K. F. Stoter and Thi Hoa Nguyen and Ren{\'e} R. Hiemstra and Dominik Schillinger},
  journal={ArXiv},
  year={2022},
  volume={abs/2201.10475}
}
In this paper, we propose a variationally consistent technique for decreasing the maximum eigenfrequencies of structural dynamics related finite element formulations. Our approach is based on adding a symmetric positive-definite term to the mass matrix that follows from the integral of the traction jump across element boundaries. The added term is weighted by a small factor, for which we derive a suitable, and simple, element-local parameter choice. For linear problems, we show that our mass… 

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