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VARIATIONAL DISCRETIZATION OF PARABOLIC CONTROL PROBLEMS IN THE PRESENCE OF POINTWISE STATE CONSTRAINTS
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2011
Year
Numerical AnalysisFinite Element MethodMathematical ProgrammingNumerical ComputationEngineeringVariational AnalysisPde-constrained OptimizationNumerical SimulationMathematical Control TheoryParabolic EquationConstrained OptimizationComputational MechanicsNumerical MethodsNumerical Method For Partial Differential Equation
我们与 pointwise 状态限制考虑一个寓言的最佳的控制问题。优化问题被线性有限元素被一个分离控制问题及时在空间和一个不连续的 Galerkin 计划基于州的方程的 discretization 接近。为控制和州的斧子的错误界限在二和三种空格尺寸获得了两个。这些界限在自然整齐要求下面为状态的 discretization 错误从一致估计列在后面。[从作者抽象]