# Asymptotically exact a posteriori error estimators for first-order div least-squares methods in local and global L2 norm

@article{Cai2015AsymptoticallyEA, title={Asymptotically exact a posteriori error estimators for first-order div least-squares methods in local and global L2 norm}, author={Zhiqiang Cai and Varis Carey and Jia-Yeong Ku and Eun-Jae Park}, journal={Computers & Mathematics with Applications}, year={2015}, volume={70}, pages={648-659} }

- Published in Computers & Mathematics with Applications 2015
DOI:10.1016/j.camwa.2015.05.010

A new asymptotically exact a posteriori error estimator is developed for first-order div least-squares (LS) finite element methods. Let (uh,h) be LS approximate solution for (u,=Au). Then, E=A1/2(h+Auh)0 is asymptotically exact a posteriori error estimator for A1/2(uuh)0 or A1/2(h)0 depending on the order of approximate spaces for and u. For E to be asymptotically exact for A1/2(uuh)0, we require higher order approximation property for , and vice versa. When both Au and are approximated in the… CONTINUE READING

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