New a posteriori L ∞(L 2) and L 2(L 2)-error estimates of mixed finite element methods for general nonlinear parabolic optimal control problems
نویسندگان
چکیده
منابع مشابه
A posteriori $ L^2(L^2)$-error estimates with the new version of streamline diffusion method for the wave equation
In this article, we study the new streamline diffusion finite element for treating the linear second order hyperbolic initial-boundary value problem. We prove a posteriori $ L^2(L^2)$ and error estimates for this method under minimal regularity hypothesis. Test problem of an application of the wave equation in the laser is presented to verify the efficiency and accuracy of the method.
متن کاملL∞-error Estimates for General Optimal Control Problem by Mixed Finite Element Methods
In this paper, we investigate the L∞-error estimates for the solutions of general optimal control problem by mixed finite element methods. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. We derive L∞-error estimates of optimal order both for the state variables and the control...
متن کاملA Posteriori Error Estimates for Nonlinear Problems. L(0, T ;L(Ω))-Error Estimates for Finite Element Discretizations of Parabolic Equations
Using the abstract framework of [10] we analyze a residual a posteriori error estimator for space-time finite element discretizations of parabolic pdes. The estimator gives global upper and local lower bounds on the error of the numerical solution. The finite element discretizations in particular cover the so-called θ-scheme, which includes the implicit and explicit Euler methods and the Crank-...
متن کاملA posteriori error estimates of mixed finite element methods for general optimal control problems governed by integro-differential equations
*Correspondence: [email protected] 1School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, 404000, P.R. China 2College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan, 411105, P.R. China Full list of author information is available at the end of the article Abstract In this paper, we study the mixed finite element methods for general convex optima...
متن کاملa posteriori $ l^2(l^2)$-error estimates with the new version of streamline diffusion method for the wave equation
in this article, we study the new streamline diffusion finite element for treating the linear second order hyperbolic initial-boundary value problem. we prove a posteriori $ l^2(l^2)$ and error estimates for this method under minimal regularity hypothesis. test problem of an application of the wave equation in the laser is presented to verify the efficiency and accuracy of the method.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 2016
ISSN: 0862-7940,1572-9109
DOI: 10.1007/s10492-016-0126-x