[1]
|
A posteriori error estimators in finite element analysis. Comput. Methods Appl. Mech. Engrg. (1997) 142: 1-88.
|
[2]
|
Error estimates for adaptive finite computations. SIAM J. Numer. Anal. (1978) 15: 736-754.
|
[3]
|
A convergent noncomforming adaptive finite element method with quasi-optimal complexity. SIAM J. Numer. Anal. (2010) 47: 4639-4659.
|
[4]
|
Adaptive finite element methods with convergence rates. Numer. Math. (2004) 97: 219-268.
|
[5]
|
Convergence analysis of a conforming adaptive finite element method for an obstacle problem. Numer. Math. (2007) 107: 455-471.
|
[6]
|
Error reduction and convergence for an adaptive mixed finite element method. Math. Comput. (2006) 75: 1033-1042.
|
[7]
|
Error estimations for the numerical approximation of semilinear elliptic control problems with finitely many state constraints. ESAIM Control Optim. Calc. Var. (2002) 8: 345-374.
|
[8]
|
Quasi-optimal convergence rate for an adaptive finite element method. SIAM J. Numer. Anal. (2008) 46: 2524-2550.
|
[9]
|
An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems. Math. Comput. (2004) 73: 1167-1193.
|
[10]
|
Adaptive finite element approximations for a class of nonlinear eigenvalue problems in quantum physics. Adv. Appl. Math. Mech. (2011) 3: 493-518.
|
[11]
|
Error estimates of fully discrete mixed finite element methods for semilinear quadratic parabolic optimal control problem. Comput. Methods Appl. Mech. Engrg. (2010) 199: 1415-1423.
|
[12]
|
(2015) High Efficient and Accuracy Numerical Methods for Optimal Control Problems. Beijing: Science Press. |
[13]
|
Convergence and optimal complexity of adaptive finite element eigenvalue computations. Numer. math. (2008) 110: 313-355.
|
[14]
|
Convergence and quasi-optimality of an adaptive finite element method for controlling $L^2$ errors. Numer. Math. (2011) 117: 185-218.
|
[15]
|
A convergent adaptive algorithm for Poisson's equation. SIAM J. Numer. Anal. (1996) 33: 1106-1124.
|
[16]
|
An adaptive finite element method for linear elliptic problems. Math. Comput. (1988) 50: 361-383.
|
[17]
|
Convergence analysis of an adaptive finite element method for distributed control problems with control constrains. Inter. Ser. Numer. Math. (2007) 155: 47-68.
|
[18]
|
$L^2$ norm equivalent a posteriori error for a constraint optimal control problem. Inter. J. Numer. Anal. Model. (2009) 6: 335-353. |
[19]
|
Adaptive finite element approximation for a constrained optimal control problem via multi-meshes. J. Sci. Comput. (2009) 41: 238-255.
|
[20]
|
Adaptive finite element method for elliptic optimal control problems: Convergence and optimality. Numer. Math. (2017) 135: 1121-1170.
|
[21]
|
W. Gong, N. Yan and Z. Zhou, Convergence of $L^2$-norm based adaptive finite element method for elliptic optimality control problem, arXiv: 1608.08699.
|
[22]
|
Convergence of adaptive finite elements for optimal control problems with control constraints. Inter. Ser. Numer. Math. (2014) 165: 403-419.
|
[23]
|
Convergence and quasi-optimality of an adaptive finite element method for optimal control problems on $L^2$-errors. J. Sci. Comput. (2017) 73: 438-458.
|
[24]
|
Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint. Adv. Comput. Math. (2018) 44: 367-394.
|
[25]
|
Adaptive finite element approximation for distributed elliptic optimal control problems. SIAM J. Control Optim. (2002) 41: 1321-1349.
|
[26]
|
J.-L. Lions, Optimal Control of Systems Governed by Partial Differential Equations, Springer, Berlin, 1971.
|
[27]
|
(2008) Adaptive Finite Element Methods for Optimal Control Governed by PDEs. Beijing: Science Press. |
[28]
|
A posteriori error estimates for control problems governed by nonlinear elliptic equation. Appl. Numer. Math. (2003) 47: 173-187.
|
[29]
|
Convergence of adaptive finite element methods for general second order linear elliptic PDEs. SIAM J. Numer. Anal. (2005) 43: 1803-1827.
|
[30]
|
Data oscillation and convergence of adaptive FEM. SIAM J. Numer. Anal. (2000) 38: 466-488.
|
[31]
|
Convergence of adaptive finite element methods. SIAM Rev. (2002) 44: 631-658.
|
[32]
|
Optimality of a standard adaptive finite element method. Found. Comput. Math. (2007) 7: 245-269.
|