Publication: Two-sided a posteriori error estimates for mixed formulations of elliptic problems
Two-sided a posteriori error estimates for mixed formulations of elliptic problems
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Repin, S., Sauter, S., & Smolianski, A. (2007). Two-sided a posteriori error estimates for mixed formulations of elliptic problems. SIAM Journal on Numerical Analysis, 45(3), 928–945. https://doi.org/10.1137/050641533
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The present work is devoted to the a posteriori error estimation for mixed approximations of linear self-adjoint elliptic problems. New guaranteed upper and lower bounds for the error measured in the natural product norm are derived, and individual sharp upper bounds are obtained for approximation errors in each of the physical variables. All estimates are reliable and valid for any approximate solution from the class of admissible functions. The estimates contain only global constants depending solely on the domain geometry and the g
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Repin, S., Sauter, S., & Smolianski, A. (2007). Two-sided a posteriori error estimates for mixed formulations of elliptic problems. SIAM Journal on Numerical Analysis, 45(3), 928–945. https://doi.org/10.1137/050641533