Global Error Control for the Continuous Galerkin Finite Element Method for Ordinary Differential Equations

@inproceedings{FrenchAbstract2007GlobalEC,
  title={Global Error Control for the Continuous Galerkin Finite Element Method for Ordinary Differential Equations},
  author={Donald FrenchAbstract},
  year={2007}
}
  • Donald FrenchAbstract
  • Published 2007
We analyze a continuous Galerkin nite element method for the integration of initial value problems in ordinary diierential equations. We derive quasi-optimal a priori and a posteriori error bounds. We use these results to construct a rigorous and robust theory of global error control. We conclude by exhibiting the properties of the error control in a series of numerical experiments. Une m ethode des el ements nis de type Galerkin continue pour l'int egration des probl emes initiales pour les… CONTINUE READING

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