Error estimates of triangular mixed finite element methods for quasilinear optimal control problems 被引量：1

Error estimates of triangular mixed finite element methods for quasilinear optimal control problems

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摘要 The goal of this paper is to study a mixed finite element approximation of the general convex optimal control problems governed by quasilinear elliptic partial differential equations. 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 a priori error estimates both for the state variables and the control variable. Finally, some numerical examples are given to demonstrate the theoretical results. The goal of this paper is to study a mixed finite element approximation of the general convex optimal control problems governed by quasilinear elliptic partial differential equations. 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 a priori error estimates both for the state variables and the control variable. Finally, some numerical examples are given to demonstrate the theoretical results.

作者 Yanping CHEN Zuliang LU Ruyi GUO

机构地区 School of Mathematical Sciences College of Civil Engineering and Mechanics School of Mathematics and Statistics Hunan Key Laboratory for Computation and Simulation in Science and Engineering

出处《Frontiers of Mathematics in China》 SCIE CSCD 2012年第3期397-413,共17页 中国高等学校学术文摘·数学（英文）

关键词 A priori error estimate quasilinear elliptic equation generalconvex optimal control problem triangular mixed finite element method A priori error estimate, quasilinear elliptic equation, generalconvex optimal control problem, triangular mixed finite element method

分类号 O232 [理学—运筹学与控制论] O175.25 [理学—基础数学]

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