OPTIMIZATION OF SPLITTING POSITIVE DEFINITE MIXED FINITE ELEMENT METHODS

@article{Manickam2015OPTIMIZATIONOS,
  title={OPTIMIZATION OF SPLITTING POSITIVE DEFINITE MIXED FINITE ELEMENT METHODS},
  author={K. Manickam and P. Prakash},
  journal={International journal of pure and applied mathematics},
  year={2015},
  volume={28},
  pages={111-125}
}
  • K. Manickam, P. Prakash
  • Published 4 March 2015
  • Computer Science
  • International journal of pure and applied mathematics
In this paper, we investigate error analysis of splitting positive definite mixed finite element methods for optimal control problems with an control constraints. The finite element methods are discretized by the RaviartThomas mixed space and the control variable is approximated by piecewise polynomials. Finally we derive error analysis for both the control variable and the state variables, when the control is discretized by piecewise linear continuous functions and illustrate with a numerical… 

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