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• W2901698051 abstract "In this work, we derive two-sided a posteriori error estimates for the dual-weighted residual (DWR) method. We consider both single and multiple goal functionals. Using a saturation assumption, we derive lower bounds yielding the efficiency of the error estimator. These results hold true for both nonlinear partial differential equations and nonlinear functionals of interest. Furthermore, the DWR method employed in this work accounts for balancing the discretization error with the nonlinear iteration error. We also perform careful studies of the remainder term that is usually neglected. Based on these theoretical investigations, several algorithms are designed. Our theoretical findings and algorithmic developments are substantiated with some numerical tests." @default.
• W2901698051 created "2018-11-29" @default.
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• W2901698051 date "2018-11-19" @default.
• W2901698051 modified "2023-09-27" @default.
• W2901698051 title "Two-side a posteriori error estimates for the DWR method" @default.
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• W2901698051 hasPublicationYear "2018" @default.
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