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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Numerical analysis of a least-squares finite element method for the time-dependent advection–diffusion equation
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
نویسندگان
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