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1996, Wiley-Teubner series, advances in numerical mathematics, ISBN 9780471967958, vi, 127
Book
International Journal for Numerical Methods in Fluids, ISSN 0271-2091, 12/2018, Volume 88, Issue 10-11, pp. 493 - 520
Journal Article
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, ISSN 0764-583X, 04/2019, Volume 53, Issue 1, pp. 197 - 218
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 05/2012, Volume 231, Issue 9, pp. 3828 - 3848
Journal Article
Numerische Mathematik, ISSN 0029-599X, 9/2013, Volume 125, Issue 1, pp. 115 - 152
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 08/2018, Volume 337, pp. 263 - 280
Adjoint-based error estimation provides the ability to approximate the discretization error for a functional quantity of interest, such as point-wise... 
Elasticity | Mesh adaptation | Stabilized finite element | Adjoint | A posteriori error estimation | Nonlinear elasticity | Mechanical engineering | Finite element method | Errors | Deformation | Error analysis | Stability | Discretization | Finite element analysis | Materials elasticity | Adaptation
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 03/2020, Volume 366, p. 112367
We derive a unified framework for goal-oriented a posteriori estimation covering in particular higher-order conforming, nonconforming, and discontinuous... 
Equilibrated flux | Inexact algebraic solver | Quantity of interest | A posteriori error estimate | Unified framework | Guaranteed bound | Numerical Analysis | Mathematics
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 08/2019, Volume 353, pp. 373 - 390
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 08/2017, Volume 322, pp. 441 - 459
Duality-based approaches to estimate errors for functional output quantities require the solution of an auxiliary dual problem. This dual solution must be... 
Variational multiscale | Mesh adaptation | A posteriori | Error estimation | FINITE-ELEMENT METHODS | ADAPTIVITY | ELASTICITY | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | NAVIER-STOKES EQUATIONS | ENGINEERING, MULTIDISCIPLINARY | FORMULATIONS | COMPUTATIONAL FLUID-DYNAMICS | SUPERCONVERGENT PATCH RECOVERY
Journal Article
Computational Optimization and Applications, ISSN 0926-6003, 9/2017, Volume 68, Issue 1, pp. 121 - 162
We derive a reliable a posteriori error estimator for a state-constrained elliptic optimal control problem taking into account both regularisation and... 
65M15 | A posteriori error estimation | Adaptive finite element methods | Mathematics | Statistics, general | Optimization |