کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4639733 | 1341247 | 2011 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical analysis of a least-squares finite element method for the time-dependent advection–diffusion equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
A mixed finite element scheme designed for solving the time-dependent advection–diffusion equations expressed in terms of both the primal unknown and its flux, incorporating or not a reaction term, is studied. Once a time discretization of the Crank–Nicholson type is performed, the resulting system of equations allows for a stable approximation of both fields, by means of classical Lagrange continuous piecewise polynomial functions of arbitrary degree, in any space dimension. Convergence in the norm of H1×H(div) in space and in appropriate senses in time applying to this pair of fields is demonstrated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 12, 15 April 2011, Pages 3615–3631
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 12, 15 April 2011, Pages 3615–3631
نویسندگان
R.C. Leal Toledo, V. Ruas,