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The dual weighted residual (DWR) method yields reliable a posteriori error bounds for
linear output functionals provided that the error incurred by the numerical approximation of the
dual solution i...
Gauge deformations for Hopf algebras with the dual Chevalley property
Hopf algebra dual Chevalley property cocycle twist dual quasi-Hopf algebra
2011/2/25
Let A be a Hopf algebra over a field K of characteristic zero such that its coradical H is a finite dimensional sub-Hopf algebra. Our main theorem shows that there is a gauge transformation on A suc...
Chebyshev Inequalities and Self-Dual Cones
Chebyshev type inequality Convex cone Dual cone LOrthoprojector
2010/1/25
The aim of this note is to give a general framework for Chebyshev inequalities and other classic inequalities. Some applications to Chebyshev inequalities are made. In addition, the relations of simil...
Optimal Control of Problems Governed by Obstacle Type Variational Inequalities：A Dual Regularization-Penalization Approach
Variational Inequalities Optimal Control Dual Methods Penalization Methods
2009/1/23
In this paper we investigate optimal control problems governed by variational inequalities. We give optimality conditions under classical assumptions using a dual regularized functional to interpret t...
