A Gagliardo-Nirenberg inequality, with application to duality-based a posteriori error estimation in the L1 norm

Suli, Endre (2006) A Gagliardo-Nirenberg inequality, with application to duality-based a posteriori error estimation in the L1 norm. Technical Report. Unspecified. (Submitted)

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Abstract

We establish the Gagliardo-Nirenberg-type multiplicative interpolation inequality where is a positive constant, independent of . We then use a local version of this inequality to derive an a posteriori error bound in the norm, with , for a finite-element approximation to a boundary value problem for a first-order linear hyperbolic equation, under the limited regularity requirement that the solution to the problem belongs to .

Dedicated to Professor Boško S Jovanovic on the occasion of his sixtieth birthday

Item Type: Technical Report (Technical Report) H - N > Numerical analysis Numerical Analysis Group 1105 Lotti Ekert 11 May 2011 10:59 11 May 2011 10:59

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