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Accurate a-posteriori error estimation using duality
Neural Parallel Sci. Comput., 1995563
Luis Ferragut, Rafael Montenegro
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A Posteriori Suboptimal Error Estimates in Control Problems
Applied Mathematics and Computation, 1977For the linear quadratic control problem, a lower bound for the performance index is established by simple methods. Using this bound, two important a posteriori error estimates are obtained, the first one measuring the deviation of the performance index, while the other is for the deviation of the state and control variables from the optimal solution ...
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The Equivalence of A Posteriori Error Estimators
1995For finite element discretzations of partial differential equations, various a posteriori error estimators have been proposed in the literature. They can be classified as follows: (1) estimators based on evaluating the residual of the discrete solution with respect to the strong form of the pde, (2) estimators based on the solution of auxiliary local ...
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ON A POSTERIORI ERROR ESTIMATION FOR CONSTANT OBSTACLE PROBLEMS
2001A posteriori error estimators for finite element approximations to variational inequalities are derived inthe model case of ``Poisson's inequality'' for a constant obstacle. These residual-type estimators yield global upper and, partially, local lower bounds for the true error.
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A Posteriori Error Estimates for Control Problems Governed by Stokes Equations
SIAM Journal on Numerical Analysis, 2002Wenbin Liu, Ningning Yan
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Accounting for stability: a posteriori error estimates based on residuals and variational analysis
Communications in Numerical Methods in Engineering, 2002Michael Holst, Donald J. Estep
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Local A Posteriori Error Estimates for Convex Boundary Control Problems
SIAM Journal on Numerical Analysis, 2009Wenbin Liu, Ningning Yan
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Mesh Smoothing Using A Posteriori Error Estimates
SIAM Journal on Numerical Analysis, 1997Randolph E Bank, R Kent Smith
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A Posteriori Error Estimates for Distributed Convex Optimal Control Problems
Advances in Computational Mathematics, 2001Wenbin Liu, Ningning Yan
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