Local a posteriori error estimator based on the hypercircle method
The error of the finite element solution of linear elliptic problems can be estimated a posteriori by the classical hypercircle method. This method gives accurate and guaranteed upper bound of the error measured in the energy norm. The disadvantage is that a global dual problem has to be solved, whi...
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| Médium: | Book section |
| Vydáno: |
2004
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| Shrnutí: | The error of the finite element solution of linear elliptic problems can be estimated a posteriori by the classical hypercircle method. This method gives accurate and guaranteed upper bound of the error measured in the energy norm. The disadvantage is that a global dual problem has to be solved, which is quite time-consuming. Combining the hypercircle method with the equilibrated residual method, we obtain locally computable guaranteed upper bound. The computer implementation of this a posteriori error estimator is also discussed. |
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