For the inf-sup condition on mesh-dependent norms on a nonconvex polygon
SCIE
SCOPUS
- Title
- For the inf-sup condition on mesh-dependent norms on a nonconvex polygon
- Authors
- Choi, S; Kweon, JR
- Date Issued
- 2008-09
- Publisher
- JOHN WILEY & SONS INC
- Abstract
- It 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. (C) 2007 Wiley Periodicals, Inc.
- Keywords
- mesh-dependent norms; inf-sup condition; nonconvex polygon; FINITE-ELEMENT METHODS; BOUNDARY-VALUE-PROBLEMS; CORNER SINGULARITIES; APPROXIMATION; EQUATION
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29421
- DOI
- 10.1002/NUM.20316
- ISSN
- 0749-159X
- Article Type
- Article
- Citation
- NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol. 24, no. 5, page. 1253 - 1264, 2008-09
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