Analysis of least-squares mixed finite element methods for nonlinear nonstationary convection-diffusion problems
نویسنده
چکیده
Some least-squares mixed finite element methods for convectiondiffusion problems, steady or nonstationary, are formulated, and convergence of these schemes is analyzed. The main results are that a new optimal a priori L2 error estimate of a least-squares mixed finite element method for a steady convection-diffusion problem is developed and that four fully-discrete leastsquares mixed finite element schemes for an initial-boundary value problem of a nonlinear nonstationary convection-diffusion equation are formulated. Also, some systematic theories on convergence of these schemes are established.
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ورودعنوان ژورنال:
- Math. Comput.
دوره 69 شماره
صفحات -
تاریخ انتشار 2000