TY - THES A1 - Krebs, Andreas T1 - On solving nonlinear variational inequalities by p-version finiteelements N2 - This thesis introduces and analyzes a p-version FEM for variationalinequalities resulting from obstacle problems for some nonlinearelliptic partial differential operators. We approximate the solutionby controlling the obstacle condition in images of the Gauss-Lobattopoints. We show existence and uniqueness for thediscrete solution u_p from the p-version for the obstacle problem. Weprove the convergence of u_p towards the solution with respectto the energy norm, and assuming some additional regularity for thesolution we derive an a priori error estimate. In numericalexperiments the p-version turns out to be superior to the h-versionconcerning the convergence rate and the number of unknowns needed toachieve a certain exactness of the approximation. KW - Variationelle Ungleichungen KW - hp-Finite Elemente Methoden KW - a posteriori Fehlerschätzer KW - großskalierte Minimierung Y1 - 2004 UR - http://edok01.tib.uni-hannover.de/edoks/e01dh04/476288029.pdf ER -