Engineering
2 years ago

New error estimator improves accuracy of finite element method for complex simulations.

Finite Elements in Analysis and Design
Asymptotically exact a posteriori error estimator for biquadratic elements
Ivo Babuška, Dehao Yu

Paper Summary

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The article discusses a method to estimate errors in mathematical calculations using specific types of elements. It provides formulas for measuring errors and shows that the estimators differ between two different element types. The researchers demonstrate the effectiveness of their approach through numerical examples, proving the accuracy of the error estimators.