Quasi-optimal degree distribution for a quadratic programming problem arising from the p-version finite element method for a one-dimensional obstacle problem

Authors:
Matthias Maischak;Andreas Krebs;Ernst P. Stephan
Affiliations:
-;-;-
Venue:
Discrete Applied Mathematics
Year:
2014

Citing 5
Cited 0

Polynomial interpolation results in Sobolev spaces

Journal of Computational and Applied Mathematics - Orthogonal polynomials and numerical methods
A posteriori error estimates based on hierarchical bases

SIAM Journal on Numerical Analysis
Minimizing quadratic functions subject to bound constraints with the rate of convergence and finite termination

Computational Optimization and Applications
A p-version finite element method for nonlinear elliptic variational inequalities in 2D

Numerische Mathematik
Adaptive hp-versions of BEM for Signorini problems

Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003

Quantified Score

Hi-index	0.04

Visualization

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.