Antonietti P, Pratelli A (2011)
Publication Language: English
Publication Status: Published
Publication Type: Journal article
Publication year: 2011
Publisher: Springer Verlag (Germany)
Book Volume: 117
Pages Range: 37-64
Journal Issue: 1
DOI: 10.1007/s00211-010-0347-y
Denoting by S the sharp constant in the Sobolev inequality in W(0)(1,2) (B), being B the unit ball in R(3), and denoting by S(h) its approximation in a suitable finite element space, we show that S(h) converges to S as h SE arrow 0 with a polynomial rate of convergence. We provide both an upper and a lower bound on the rate of convergence, and present some numerical results.
APA:
Antonietti, P., & Pratelli, A. (2011). Finite element approximation of the Sobolev constant. Numerische Mathematik, 117(1), 37-64. https://dx.doi.org/10.1007/s00211-010-0347-y
MLA:
Antonietti, Paola, and Aldo Pratelli. "Finite element approximation of the Sobolev constant." Numerische Mathematik 117.1 (2011): 37-64.
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