The shape-linearized adjoint in goal-oriented error estimation for free-boundary problems

K.G. Zee, van der; E.H. Brummelen, van; R. Borst, de

The shape-linearized adjoint in goal-oriented error estimation for free-boundary problems

K.G. Zee, van der, E.H. Brummelen, van, R. Borst, de

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

We present the shape-linearized adjoint of a free-boundary problem. It is used to compute a-posteriori error estimates of goal functionals of the free-boundary-problem solution. We consider its applicability in goal-oriented adaptive mesh-refinement.

Original language	English
Title of host publication	Proceedings of the International Conference on Adaptive Modeling and Simulation, ADMOS 2009, May 25-27, 2009, Brussels, Belgium
Editors	P. Bouillard, P. Diez
Place of Publication	Barcelona
Publisher	International Center for Numerical Methods in Engineering (CIMNE)
Pages	1-4
ISBN (Print)	978-84-96736-64-1
Publication status	Published - 2009

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Zee, van der, K. G., Brummelen, van, E. H., & Borst, de, R. (2009). The shape-linearized adjoint in goal-oriented error estimation for free-boundary problems. In P. Bouillard, & P. Diez (Eds.), Proceedings of the International Conference on Adaptive Modeling and Simulation, ADMOS 2009, May 25-27, 2009, Brussels, Belgium (pp. 1-4). International Center for Numerical Methods in Engineering (CIMNE).

Zee, van der, K.G. ; Brummelen, van, E.H. ; Borst, de, R. / The shape-linearized adjoint in goal-oriented error estimation for free-boundary problems. Proceedings of the International Conference on Adaptive Modeling and Simulation, ADMOS 2009, May 25-27, 2009, Brussels, Belgium. editor / P. Bouillard ; P. Diez. Barcelona : International Center for Numerical Methods in Engineering (CIMNE), 2009. pp. 1-4

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title = "The shape-linearized adjoint in goal-oriented error estimation for free-boundary problems",

abstract = "We present the shape-linearized adjoint of a free-boundary problem. It is used to compute a-posteriori error estimates of goal functionals of the free-boundary-problem solution. We consider its applicability in goal-oriented adaptive mesh-refinement.",

author = "{Zee, van der}, K.G. and {Brummelen, van}, E.H. and {Borst, de}, R.",

year = "2009",

language = "English",

isbn = "978-84-96736-64-1",

pages = "1--4",

editor = "P. Bouillard and P. Diez",

booktitle = "Proceedings of the International Conference on Adaptive Modeling and Simulation, ADMOS 2009, May 25-27, 2009, Brussels, Belgium",

publisher = "International Center for Numerical Methods in Engineering (CIMNE)",

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Zee, van der, KG, Brummelen, van, EH & Borst, de, R 2009, The shape-linearized adjoint in goal-oriented error estimation for free-boundary problems. in P Bouillard & P Diez (eds), Proceedings of the International Conference on Adaptive Modeling and Simulation, ADMOS 2009, May 25-27, 2009, Brussels, Belgium. International Center for Numerical Methods in Engineering (CIMNE), Barcelona, pp. 1-4.

The shape-linearized adjoint in goal-oriented error estimation for free-boundary problems. / Zee, van der, K.G.; Brummelen, van, E.H.; Borst, de, R.
Proceedings of the International Conference on Adaptive Modeling and Simulation, ADMOS 2009, May 25-27, 2009, Brussels, Belgium. ed. / P. Bouillard; P. Diez. Barcelona: International Center for Numerical Methods in Engineering (CIMNE), 2009. p. 1-4.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - The shape-linearized adjoint in goal-oriented error estimation for free-boundary problems

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AU - Borst, de, R.

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Y1 - 2009

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AB - We present the shape-linearized adjoint of a free-boundary problem. It is used to compute a-posteriori error estimates of goal functionals of the free-boundary-problem solution. We consider its applicability in goal-oriented adaptive mesh-refinement.

M3 - Conference contribution

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SP - 1

EP - 4

BT - Proceedings of the International Conference on Adaptive Modeling and Simulation, ADMOS 2009, May 25-27, 2009, Brussels, Belgium

A2 - Bouillard, P.

A2 - Diez, P.

PB - International Center for Numerical Methods in Engineering (CIMNE)

CY - Barcelona

ER -

Zee, van der KG, Brummelen, van EH, Borst, de R. The shape-linearized adjoint in goal-oriented error estimation for free-boundary problems. In Bouillard P, Diez P, editors, Proceedings of the International Conference on Adaptive Modeling and Simulation, ADMOS 2009, May 25-27, 2009, Brussels, Belgium. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). 2009. p. 1-4

The shape-linearized adjoint in goal-oriented error estimation for free-boundary problems

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