03 July 2016

In high value, high complexity and low volume industries,

AbstractWe present a posteriori analysis of higher order finite element approximations (hp FEM) for quadratic Fredholm valued operator functions. Residual estimates for approximations of the algebraic eigenspaces are derived and we reduce the analysis of the estimator to the analysis of an associated boundary value problem. For the reasons of robustness we also consider approximations of the associated invariant pairs.

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