Boundary element methods for Dirichlet boundary control problems
作者： Günther Of , Thanh Xuan Phan , Olaf Steinbach
DOI: 10.1002/MMA.1356
关键词:
摘要: … first boundary integral formulation to solve the Dirichlet boundary control problem, and we discuss stability and error estimates of the related Galerkin boundary element method. As this …
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Zhonghai Ding, Optimal Boundary Controls of Linear Elastostatics on Lipschitz Domains with Point Observations Journal of Dynamical and Control Systems. ,vol. 7, pp. 181- 207 ,(2001) , 10.1023/A:1013051120853
S. May, R. Rannacher, B. Vexler, A Priori Error Analysis for the Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems Springer, Berlin, Heidelberg. pp. 637- 644 ,(2008) , 10.1007/978-3-540-69777-0_76
M. D. Gunzburger, L. S. Hou, Th. P. Svobodny, Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls Mathematical Modelling and Numerical Analysis. ,vol. 25, pp. 711- 748 ,(1991) , 10.1051/M2AN/1991250607111
Günther Of, Olaf Steinbach, A fast multipole boundary element method for a modified hypersingular boundary integral equation Analysis and Simulation of Multifield Problems. pp. 163- 169 ,(2003) , 10.1007/978-3-540-36527-3_17
Franco Brezzi, William W. Hager, P. A. Raviart, Error estimates for the finite element solution of variational inequalities Numerische Mathematik. ,vol. 31, pp. 1- 16 ,(1978) , 10.1007/BF01396010
Angela Kunoth, Fast Iterative Solution of Saddle Point Problems in Optimal Control Based on Wavelets Computational Optimization and Applications. ,vol. 22, pp. 225- 259 ,(2002) , 10.1023/A:1015441724875
Rene Pinnau, Michael Hinze, Michael Ulbrich, Stefan Ulbrich, Optimization with PDE Constraints ,(2008)
William Charles Hector McLean, Strongly Elliptic Systems and Boundary Integral Equations ,(2000)
Puhong You, Zhonghai Ding, Jianxin Zhou, Optimal Boundary Control of the Stokes Fluids with Point Velocity Observations Siam Journal on Control and Optimization. ,vol. 36, pp. 981- 1004 ,(1998) , 10.1137/S0363012996300276