Publications

Recent preprint

  • PC and P.Hild. Error analysis of the compliance model for the Signorini problem (2020), [Hal]
    Short abstract This paper analyzes a class of penalized Signorini problems also called normal compliance models approximating the Signorini problem using both a penalty parameter ε and a “power parameter” α ≥ 1, where α = 1 corresponds to the standard penalization. We obtain new error estimates, in particular in the L2-norm.

Published articles

  • PC and N. Heuer. A DPG framework for strongly monotone operators (2018), [Hal]
    SIAM J. Numer. Anal.56(5), 2731–2750 (2018)
    Short abstract A new hybrid technique to approximate the very-weak solution of a nonlinear strongly monotone problem is presented and analyzed. This scheme is based on the use of optimal test functions and nonlinear penalty method.

Articles in preparation

  • PC and N. Heuer. A penalized Petrov-Galerkin method for linear and nonlinear Stokes problems