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,
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.