Error Estimates for the Numerical Approximation of Semilinear Elliptic Control Problems with Finitely Many State Constraints

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2002049 ◽

2002 ◽

Vol 8 ◽

pp. 345-374 ◽

Author(s):

Eduardo Casas

Keyword(s):

Error Estimates ◽

Numerical Approximation ◽

State Constraints ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Control Problems

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Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems. Continuous Piecewise Linear Approximations

IFIP International Federation for Information Processing - Systems, Control, Modeling and Optimization ◽

10.1007/0-387-33882-9_9 ◽

2006 ◽

pp. 91-101 ◽

Author(s):

E. Casas ◽

M. Mateos

Keyword(s):

Error Estimates ◽

Numerical Approximation ◽

Piecewise Linear ◽

Control Problems ◽

Linear Approximations ◽

Semilinear Elliptic ◽

Elliptic Control Problems ◽

Piecewise Linear Approximations

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Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems

Computational Optimization and Applications ◽

10.1007/s10589-005-2180-2 ◽

2005 ◽

Vol 31 (2) ◽

pp. 193-219 ◽

Author(s):

Eduardo Casas ◽

Mariano Mateos ◽

Fredi TrÖltzsch

Keyword(s):

Error Estimates ◽

Numerical Approximation ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Control Problems

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Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems

Advances in Computational Mathematics ◽

10.1007/s10444-004-4142-0 ◽

2006 ◽

Vol 26 (1-3) ◽

pp. 137-153 ◽

Author(s):

Eduardo Casas

Keyword(s):

Numerical Approximation ◽

Piecewise Linear ◽

Linear Functions ◽

Control Problems ◽

Piecewise Linear Functions ◽

Semilinear Elliptic ◽

Elliptic Control Problems

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Error estimates for the discretization of elliptic control problems with pointwise control and state constraints

Computational Optimization and Applications ◽

10.1007/s10589-008-9186-5 ◽

2008 ◽

Vol 44 (1) ◽

pp. 27-55 ◽

Author(s):

S. Cherednichenko ◽

A. Rösch

Keyword(s):

Error Estimates ◽

State Constraints ◽

Control Problems ◽

Elliptic Control Problems ◽

Control And State Constraints

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Second Order Optimality Conditions for Semilinear Elliptic Control Problems with Finitely Many State Constraints

SIAM Journal on Control and Optimization ◽

10.1137/s0363012900382011 ◽

2002 ◽

Vol 40 (5) ◽

pp. 1431-1454 ◽

Author(s):

Eduardo Casas ◽

Mariano Mateos

Keyword(s):

Optimality Conditions ◽

State Constraints ◽

Second Order ◽

Control Problems ◽

Second Order Optimality Conditions ◽

Semilinear Elliptic ◽

Elliptic Control Problems

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Superconvergence and L∞-Error Estimates of RT1 Mixed Methods for Semilinear Elliptic Control Problems with an Integral Constraint

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2012.m1118 ◽

2012 ◽

Vol 5 (3) ◽

pp. 423-446 ◽

Author(s):

Yanping Chen & Tianliang Hou

Keyword(s):

Mixed Methods ◽

Error Estimates ◽

Control Problems ◽

Integral Constraint ◽

Semilinear Elliptic ◽

Elliptic Control Problems

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Error estimates for the numerical approximation of Neumann control problems governed by a class of quasilinear elliptic equations

Computational Optimization and Applications ◽

10.1007/s10589-011-9440-0 ◽

2011 ◽

Vol 52 (3) ◽

pp. 719-756 ◽

Author(s):

Eduardo Casas ◽

Vili Dhamo

Keyword(s):

Error Estimates ◽

Elliptic Equations ◽

Numerical Approximation ◽

Quasilinear Elliptic Equations ◽

Control Problems ◽

Quasilinear Elliptic

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Numerical approximation of elliptic control problems with finitely many pointwise constraints

Computational Optimization and Applications ◽

10.1007/s10589-011-9394-2 ◽

2011 ◽

Vol 51 (3) ◽

pp. 1319-1343 ◽

Author(s):

Eduardo Casas ◽

Mariano Mateos

Keyword(s):

Numerical Approximation ◽

Control Problems ◽

Elliptic Control Problems ◽

Pointwise Constraints

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Superconvergence and a posteriori error estimates of RT1 mixed methods for elliptic control problems with an integral constraint

Numerical Analysis and Applications ◽

10.1134/s1995423913020080 ◽

2013 ◽

Vol 6 (2) ◽

pp. 163-175

Author(s):

T. Hou

Keyword(s):

Mixed Methods ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

Integral Constraint ◽

A Posteriori ◽

A Posteriori Error ◽

Elliptic Control Problems

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Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations

SIAM Journal on Control and Optimization ◽

10.1137/050626600 ◽

2006 ◽

Vol 45 (5) ◽

pp. 1586-1611 ◽

Author(s):

Eduardo Casas ◽

Jean‐Pierre Raymond

Keyword(s):

Error Estimates ◽

Boundary Control ◽

Elliptic Equations ◽

Numerical Approximation ◽

Dirichlet Boundary ◽

Semilinear Elliptic Equations ◽

Dirichlet Boundary Control ◽

Semilinear Elliptic

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