Gradient superconvergence on uniform simplicial partitions of polytopes

0175331 - MU-W 20030083 RIV GB eng J - Článek v odborném periodiku
Brandts, J. - Křížek, Michal
Gradient superconvergence on uniform simplicial partitions of polytopes.
IMA Journal of Numerical Analysis. Roč. 23, - (2003), s. 489-505. ISSN 0272-4979. E-ISSN 1464-3642
Grant CEP: GA AV ČR IAA1019201
Výzkumný záměr: CEZ:AV0Z1019905; CEZ:AV0Z1019905
Klíčová slova: uniform partition * n-simplex * point symmetry
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.845, rok: 2003

Superconvergence of the gradient for the linear simplicial finite-element method applied to elliptic equations is a well known feature in one, two, and three space dimensions. In this paper we show that, in fact, there exists an elegant proof of this feature independent of the space dimension. As a result, superconvergence for dimensions four and up is proved simultaneously. The key.....
Trvalý link: http://hdl.handle.net/11104/0072315