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Van der Zee, K.G. (author), Van Brummelen, E.H. (author), De Borst, R. (author)We develop duality-based a posteriori error estimates for functional outputs of solutions of free-boundary problems via shape-linearization principles. To derive an appropriate dual (linearized adjoint) problem, we linearize the domain dependence of the very weak form and goal functional of interest using techniques from shape calculus. We show...journal article 2010
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Van der Zee, K.G. (author), Van Brummelen, E.H. (author), De Borst, R. (author)In free-boundary problems, the accuracy of a goal quantity of interest depends on both the accuracy of the approximate solution and the accuracy of the domain approximation. We develop duality-based a posteriori error estimates for functional outputs of solutions of free-boundary problems that include both sources of error. The derivation of an...journal article 2010
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Van der Zee, K.G. (author), Van Brummelen, E.H. (author), De Borst, R. (author)Numerical simulations of fluid-structure interaction typically require vast computational resources. Finite-element techniques employing goal-oriented hp-adaptation strategies could offer a substantial improvement in the efficiency of such simulations. These strategies rely on dual-based a-posteriori error estimates for quantities of interest....conference paper 2006
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Van der Zee, K.G. (author), Van Brummelen, E.H. (author), De Borst, R. (author)Numerical simulations of fluid-structure interaction typically require vast computational resources. Finite-element techniques employing goal-oriented hp-adaptation strategies could offer a substantial improvement in the efficiency of such simulations. These strategies rely on dual-based a-posteriori error estimates for quantities of interest....conference paper 2006
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- Gutierrez, M.A. (author), De Borst, R. (author), Schellekens, J.C.J. (author), Sluys, L.J. (author) journal article 1995