Details

Autor(en) / Beteiligte

• Agouzal, Abdellatif
• Vassilevski, Yuri V.

Titel

On the Lq-saturation property for functions from W2,p(Ω)

Ist Teil von

• Applied mathematics letters, 2012-12, Vol.25 (12), p.2123-2127

Ort / Verlag

Elsevier Ltd

Erscheinungsjahr

2012

Link zum Volltext

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• This short note is devoted to the proof of the Lq-saturation property for functions from the Sobolev space W2,p(Ω), p>d/2, on sequences of conformal, possibly anisotropic, simplicial meshes for spaces of arbitrary dimension d. The proof completes the theory of optimal meshes minimizing the Lq-error (0<q≤p) of P1-interpolation and the theory of quasi-optimal meshes which are achievable approximations of the optimal meshes (Agouzal et al., 2009, 2010 [2,3], Agouzal et al., 2010 [4]).