کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641384 1341306 2010 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The optimal convergence rate of a C1C1 finite element method for non-smooth domains
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The optimal convergence rate of a C1C1 finite element method for non-smooth domains
چکیده انگلیسی

We establish optimal (up to arbitrary ε>0ε>0) convergence rates for a finite element formulation of a model second order elliptic boundary value problem in a weighted  H2H2 Sobolev space with 5th degree Argyris elements. This formulation arises while generalizing to the case of non-smooth domains an unconditionally stable scheme developed by Liu et al. [J.-G. Liu, J. Liu, R.L. Pego, Stability and convergence of efficient Navier–Stokes solvers via a commutator estimate, Comm. Pure Appl. Math. 60 (2007) pp. 1443–1487] for the Navier–Stokes equations. We prove the optimality for both quasiuniform and graded mesh refinements, and provide numerical results that agree with our theoretical predictions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 233, Issue 10, 15 March 2010, Pages 2711–2723
نویسندگان
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