AN ANALYSIS OF A BROKEN P-1-NONCONFORMING FINITE ELEMENT METHOD FOR INTERFACE PROBLEMS (vol 48, pg 2117, 2010)

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The object of this note is to correct an error in the proof of Theorem 3.4 of the paper [An analysis of a broken P-1-nonconforming finite element method for interface problems, SIAM J. Numer. Anal., 48 (2010), pp. 2117-2134]. As a result, Theorem 3.4 requires a higher regularity than the usual elliptic interface problems can have, i.e., beta del p is an element of (H1/2+is an element of (Omega))(2) (0 < is an element of < 1/2). Hence we point out that even though the result now holds under this extra regularity assumption, the regularity is unlikely to hold for general interface problems. Thus the result has some limited usage.
Publisher
SIAM PUBLICATIONS
Issue Date
2017
Language
English
Article Type
Correction
Citation

SIAM JOURNAL ON NUMERICAL ANALYSIS, v.55, no.4, pp.2110 - 2111

ISSN
0036-1429
DOI
10.1137/16M1099820
URI
http://hdl.handle.net/10203/226330
Appears in Collection
MA-Journal Papers(저널논문)
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