Hybrid Finite Element Methods for Non-linear and Non-smooth Problems in Solid Mechanics

@inproceedings{Wunderlich2017HybridFE,
  title={Hybrid Finite Element Methods for Non-linear and Non-smooth Problems in Solid Mechanics},
  author={Linus Wunderlich},
  year={2017}
}
In this thesis, several hybrid finite element methods are studied and applied to non-linear and non-smooth problems in solid mechanics. We consider non-conforming methods based on isogeometric elements and standard polynomial spaces. The potential of isogemetric mortar methods is presented with a vibroacoustical example, which includes material and geometry variations. For non-linear problems of Signorini-type, we provide optimal order a priori estimates for the trace and the flux. 

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