Contributions to Books:

P. Dörsek, J. Melenk:
"Adaptive hp-FEM for the contact problem with Tresca friction in linear elasticity: The primal-dual formulation and a posteriori error estimation";
in: "ASC Report 37/2009", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2009, ISBN: 978-3-902627-02-5.

English abstract:
We present an a priori analysis of the hp-version of the finite element method for the
primal-dual formulation of frictional contact in linear elasticity. We employ a novel
hp-mortar projection operator, which is uniformly stable in the mesh width and grows
slowly in the polynomial degree. We derive an hp-FEM residual error indicator, develop
an hp-adaptive strategy that is based on testing for analyticity, and show in numerical
examples that the adaptive algorithm can lead to exponential rates of convergence.

Finite elements, hp-adaptivity, linear elasticity, Tresca friction, residual

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.