A Posteriori Error Estimates for Semilinear Boundary Control Problems
A Posteriori Error Estimates for Semilinear Boundary Control Problems
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DOI：
10.1007/978-3-642-11304-8_53
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Yanping Chen;Zuliang Lu
中科院分区：
文献类型：
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作者：
Yanping Chen;Zuliang Lu
在本文中，我们研究由半线性椭圆方程控制的边界控制问题的有限元近似。最优控制问题是科学和工程数值模拟中非常重要的模型。它们在许多实际应用中具有不同的物理背景。最优控制问题的有限元逼近在这些问题的数值方法中起着非常重要的作用。 [7, 8] 很好地研究了分段常数函数的最优控制近似。半线性椭圆最优控制问题的离散化在[2]中讨论。对最优控制问题的有限元方法的系统介绍参见文献[10]。
In this paper we study the finite element approximation for boundary control problems governed by semilinear elliptic equations. Optimal control problems are very important model in science and engineering numerical simulation. They have various physical backgrounds in many practical applications. Finite element approximation of optimal control problems plays a very important role in the numerical methods for these problems. The approximation of optimal control by piecewise constant functions is well investigated by [7, 8]. The discretization for semilinear elliptic optimal control problems is discussed in [2]. Systematic introductions of the finite element method for optimal control problems can be found in [10].