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Convergence Analysis in the Maximum Norm of the Numerical Gradient of the Shortley–Weller Method

Title
Convergence Analysis in the Maximum Norm of the Numerical Gradient of the Shortley–Weller Method
Authors
Seo J.Ha S.-Y.Min C.
Ewha Authors
민조홍
SCOPUS Author ID
민조홍scopus
Issue Date
2017
Journal Title
Journal of Scientific Computing
ISSN
0885-7474JCR Link
Citation
pp. 1 - 9
Keywords
Convergence analysisFinite difference methodShortley–WellerSuper-convergence
Publisher
Springer New York LLC
Indexed
SCIE; SCOPUS scopus
Abstract
The Shortley–Weller method is a standard central finite-difference-method for solving the Poisson equation in irregular domains with Dirichlet boundary conditions. It is well known that the Shortley–Weller method produces second-order accurate solutions and it has been numerically observed that the solution gradients are also second-order accurate; a property known as super-convergence. The super-convergence was proved in the (Formula presented.) norm in Yoon and Min (J Sci Comput 67(2):602–617, 2016). In this article, we present a proof for the super-convergence in the (Formula presented.) norm. © 2017 Springer Science+Business Media New York
DOI
10.1007/s10915-017-0458-z
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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