Dietrich Braess, Veronika Pillwein, Joachim Schöberl,
"Equilibrated Residual Error Estimates are $p$-Robust"
, in Computer Methods in Applied Mechanics and Engineering, Vol. 198, Seite(n) 1189-1197, 2009, ISSN: 1879-2138
Original Titel:
Equilibrated Residual Error Estimates are $p$-Robust
Sprache des Titels:
Englisch
Original Kurzfassung:
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.
Sprache der Kurzfassung:
Englisch
Journal:
Computer Methods in Applied Mechanics and Engineering
Forschungs-