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...

Ամբողջական նկարագրություն

Մատենագիտական մանրամասներ
Հիմնական հեղինակ: Vejchodský, T
Ձևաչափ: Book section
Հրապարակվել է: 2004
Նկարագրություն
Ամփոփում: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.