A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity

@inproceedings{Becker2008ANE,
  title={A Nitsche extended finite element method for incompressible elasticity with discontinuous modulus of elasticity},
  author={Roland Becker and Erik Burman and Peter Hansbo},
  year={2008}
}
In this note we propose a finite element method for incompressible (or compressible) elasticity problems with discontinuous modulus of elasticity (or, if compressible, Poisson’s ratio). The problem is written on mixed form using P 1–continuous displacements and the space of piecewise P 0 pressures, leading to the possibility of eliminating the pressure beforehand in the compressible case. In the incompressible case, the method is augmented by a stabilization term, penalizing the pressure jumps… CONTINUE READING