Abstract

AbstractIt is shown that the inf‐sup condition, called the Babuska–Brezzi condition, is valid for certain mesh‐dependent norms on a nonconvex polygonal domain. A bilinear form that is derived by inserting the corner singularity expansion into the Laplace equation is considered. A mesh‐dependent fractional norm related to the least order of the corner singularity at a concave vertex is considered. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008

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