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Title: Quasi-optimal degree distribution for a quadratic programming problem arising from the p-version finite element method for a one-dimensional obstacle problem
Authors: Maischak, M
Krebs, A
Stephan, EP
Keywords: Quadraticprogramming;Finitedimensionalapproximation;Obstacleproblem;p-version
Issue Date: 2013
Publisher: Elsevier [Commercial Publisher]
Citation: Discrete Applied Mathematics, 2014, 164 (PART 1), pp. 200 - 209
Abstract: We present a quadratic programming problem arising from the p-version for a finite element method with an obstacle condition prescribed in Gauss-Lobatto points. We show convergence of the approximate solution to the exact solution in the energy norm. We show an a-priori error estimate and derive an a-posteriori error estimate based on bubble functions which is used in an adaptive p-version. Numerical examples show the superiority of the p-version compared with the h-version. © 2013 Elsevier B.V. All rights reserved.
ISSN: 0166-218X
Appears in Collections:Dept of Mathematics Research Papers

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