Details
| Original language | English |
|---|---|
| Pages (from-to) | B1085-B1104 |
| Journal | SIAM Journal on Scientific Computing |
| Volume | 35 |
| Issue number | 5 |
| Publication status | Published - 2013 |
Abstract
We investigate optimization problems in which the state is given in terms of fluidstructure interactions. The coupled problem is formulated with the help of the ALE (arbitrary Lagrangian-Eulerian) mapping. The solution approach is based on derivative-based optimization algorithms in which the derivatives are obtained with the help of the Lagrange formalism, leading to the so-called optimality system. The optimality system is then solved with Newton's method. The focus is on the proper derivation of the adjoint equations guiding the optimization formalism. Moreover, special attention is given to the adjoint information transport between the fluid and structure subproblems. Numerical tests are used to substantiate the theoretical framework.
Keywords
- Finite elements, Fluid-structure interaction, Monolithic formulation, Optimal control, Parameter estimation
ASJC Scopus subject areas
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: SIAM Journal on Scientific Computing, Vol. 35, No. 5, 2013, p. B1085-B1104.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Optimal control and parameter estimation for stationary fluid-structure interaction problems
AU - Richter, T.
AU - Wick, T.
N1 - Copyright: Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2013
Y1 - 2013
N2 - We investigate optimization problems in which the state is given in terms of fluidstructure interactions. The coupled problem is formulated with the help of the ALE (arbitrary Lagrangian-Eulerian) mapping. The solution approach is based on derivative-based optimization algorithms in which the derivatives are obtained with the help of the Lagrange formalism, leading to the so-called optimality system. The optimality system is then solved with Newton's method. The focus is on the proper derivation of the adjoint equations guiding the optimization formalism. Moreover, special attention is given to the adjoint information transport between the fluid and structure subproblems. Numerical tests are used to substantiate the theoretical framework.
AB - We investigate optimization problems in which the state is given in terms of fluidstructure interactions. The coupled problem is formulated with the help of the ALE (arbitrary Lagrangian-Eulerian) mapping. The solution approach is based on derivative-based optimization algorithms in which the derivatives are obtained with the help of the Lagrange formalism, leading to the so-called optimality system. The optimality system is then solved with Newton's method. The focus is on the proper derivation of the adjoint equations guiding the optimization formalism. Moreover, special attention is given to the adjoint information transport between the fluid and structure subproblems. Numerical tests are used to substantiate the theoretical framework.
KW - Finite elements
KW - Fluid-structure interaction
KW - Monolithic formulation
KW - Optimal control
KW - Parameter estimation
UR - http://www.scopus.com/inward/record.url?scp=84886815392&partnerID=8YFLogxK
U2 - 10.1137/120893239
DO - 10.1137/120893239
M3 - Article
AN - SCOPUS:84886815392
VL - 35
SP - B1085-B1104
JO - SIAM Journal on Scientific Computing
JF - SIAM Journal on Scientific Computing
SN - 1064-8275
IS - 5
ER -