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2016

Error bounds for GMLS derivatives approximations of Sobolev functions

4 years 3 months ago
Error bounds for GMLS derivatives approximations of Sobolev functions
This paper provides the error estimates for generalized moving least squares (GMLS) derivatives approximations of a Sobolev function in Lp norms and extends them for local weak forms of DMLPG methods. Sometimes they are called diffuse or uncertain derivatives, but precisely they are direct approximants of exact derivatives which possess the optimal rates of convergence. GMLS derivatives approximations are different from the standard derivatives of MLS approximation. While they are much easier to evaluate at considerably lower cost, in this article the same orders of convergence with comparison to the standard derivatives are obtained for them.
Davoud Mirzaei
Added 06 Apr 2016
Updated 06 Apr 2016
Type Journal
Year 2016
Where JCAM
Authors Davoud Mirzaei
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