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Daily Overview |
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OC2: Optimisation and Control Location: A702 Session Chair: Behzad Azmi | |
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Numerical analysis of optimal control problem along curves in three dimensions 1: University of Connecticut, United States of America; 2: TU Munich In the recent years the problem of finite element approximation and analysis of elliptic problems where the forcing function is supported on a lower dimensional manifold, like a point or a curve in three dimensions Euclidian space have received a certain attention. There are many interesting and insightful results in this direction. However, the known results are not sufficient for obtaining optimal error estimates for optimal control problem with controls acting on curves in three dimensions. To obtain optimal (or nearly optimal) error estimates, we establish new weighted error estimates for the elliptic problems and applied them to the optimal control problems. In some sense, the established results generalized the technique of pointwise finite element error estimates. | |
