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The Construction and Analysis of a Posteriori Error Estimators for Piezoelectricity Stationary Problems

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Modern Analysis and Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 191))

Abstract

This paper considers the building of a posteriori error estimator for finite element method approximation of piezoelectricity boundary problem. The construction of the estimator is based on the error problem and properties of bubble-functions. The efficiency and reliability of estimator is illustrated by numeric results of solved model problems.

This work was completed with the support of department of information systems of Ivan Franko National University of Lviv.

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Chaban, F., Shynkarenko, H. (2009). The Construction and Analysis of a Posteriori Error Estimators for Piezoelectricity Stationary Problems. In: Adamyan, V.M., et al. Modern Analysis and Applications. Operator Theory: Advances and Applications, vol 191. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-9921-4_17

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