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Uniformly stable rectangular elements for fourth order elliptic singular perturbation problems
Author(s) -
Wang Li,
WU Yongke,
Xie Xiaoping
Publication year - 2013
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21723
Subject(s) - mathematics , singular perturbation , perturbation (astronomy) , norm (philosophy) , finite element method , mathematical analysis , uniform convergence , order (exchange) , physics , law , computer science , finance , economics , computer network , bandwidth (computing) , quantum mechanics , political science , thermodynamics
In this article, we consider rectangular finite element methods for fourth order elliptic singular perturbation problems. We show that the non‐ C 0 rectangular Morley element is uniformly convergent in the energy norm with respect to the perturbation parameter. We also propose a C 0 extended high order rectangular Morley element and prove the uniform convergence. Finally, we do some numerical experiments to confirm the theoretical results. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013
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