A Posteriori Error Estimation for the Finite Element Method-of-lines Solution of Parabolic Problems

@inproceedings{FLAHERTYDepartment2007APE,
  title={A Posteriori Error Estimation for the Finite Element Method-of-lines Solution of Parabolic Problems},
  author={JOSEPH E. FLAHERTYDepartment},
  year={2007}
}
  • JOSEPH E. FLAHERTYDepartment
  • Published 2007
Babu ska and Yu constructed a posteriori estimates for nite element dis-cretization errors of linear elliptic problems utilizing a dichotomy principal stating that the errors of odd-order approximations arise near element edges as mesh spacing decreases while those of even-order approximations arise in element interiors. We construct similar a posteriori estimates for the spatial errors of nite element method-of-lines solutions of linear parabolic partial diierential equations on square-element… CONTINUE READING

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