@

author = {D. Braess and V. Pillwein and J. Schöberl},}

title = {{Equilibrated Residual Error Estimates are $p$-Robust}},

language = {english},

abstract = { Equilibrated residual error estimators applied to high order finite elements are analyzed. The estimators provide always a true upper bound for the energy error. We prove that also the efficiency estimate is robust with respect to the polynomial degrees. The result is complete for tensor product elements. In the case of simplicial elements, the theorem is based on a conjecture, for which numerical evidence is provided.},

journal = {Comput. Methods Appl. Mech. Engrg.},

volume = {198},

pages = {1189--1197},

isbn_issn = {?},

year = {2009},

refereed = {yes},

length = {9}