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ADAPTIVE SYMMETRIC INTERIOR PENALTY GALERKIN METHOD FOR BOUNDARY CONTROL PROBLEMS
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Date
2017-01-01
Author
BENNER, Peter
Yücel, Hamdullah
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We investigate an a posteriori error analysis of adaptive finite element approximations of linear-quadratic boundary optimal control problems under bilateral box constraints, which act on a Neumann boundary control. We use a symmetric interior Galerkin method as discretization technique. An efficient and reliable residual-type error estimator is introduced by invoking data oscillations. We then derive local upper and lower a posteriori error estimates for the boundary control problem. Adaptive mesh refinement indicated by a posteriori error estimates is applied. Numerical results are presented to illustrate the performance of the adaptive finite element approximation.
Subject Keywords
A posteriori error analysis
,
Optimal boundary control problems
,
Control constraints
,
Adaptive finite element methods
,
Discontinuous Galerkin methods
URI
https://hdl.handle.net/11511/31898
Journal
SIAM JOURNAL ON NUMERICAL ANALYSIS
DOI
https://doi.org/10.1137/15m1034507
Collections
Graduate School of Applied Mathematics, Article
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BibTeX
P. BENNER and H. Yücel, “ADAPTIVE SYMMETRIC INTERIOR PENALTY GALERKIN METHOD FOR BOUNDARY CONTROL PROBLEMS,”
SIAM JOURNAL ON NUMERICAL ANALYSIS
, vol. 55, no. 2, pp. 1101–1133, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/31898.