Convergence Analysis in the Maximum Norm of the Numerical Gradient of the Shortley–Weller Method
- 주제(키워드) Convergence analysis , Finite difference method , Shortley–Weller , Super-convergence
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Springer New York LLC
- 발행년도 2017
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000145514
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s10915-017-0458-z
초록/요약
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
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