A $$\varvec{C}^0$$ C 0 Interior Penalty Method for Elliptic Distributed Optimal Control Problems in Three Dimensions with Pointwise State Constraints

DOI10.1007/978-1-4939-6399-7_1zbMath1384.65038OpenAlexW2511134320MaRDI QIDQ4606903

Kamana Porwal, Susanne C. Brenner, Minah Oh, Natasha Sharma, Sara Pollock, Mira Schedensack

Publication date: 9 March 2018

Published in: Topics in Numerical Partial Differential Equations and Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-6399-7_1

zbMATH Keywords

variational inequalitiesnumerical resultsinterior penalty methodelliptic distributed optimal control problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Numerical methods for variational inequalities and related problems (65K15)

Related Items (12)

A \(P_1\) finite element method for a distributed elliptic optimal control problem with a general state equation and pointwise state constraints ⋮ A cubic \(C^{\mathbf{0}}\) interior penalty method for elliptic distributed optimal control problems with pointwise state and control constraints ⋮ $C^0$ Interior Penalty Methods for an Elliptic Distributed Optimal Control Problem on Nonconvex Polygonal Domains with Pointwise State Constraints ⋮ A symmetric interior penalty method for an elliptic distributed optimal control problem with pointwise state constraints ⋮ A One Dimensional Elliptic Distributed Optimal Control Problem with Pointwise Derivative Constraints ⋮ Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints (Survey) ⋮ \(C^0\) interior penalty methods for an elliptic state-constrained optimal control problem with Neumann boundary condition ⋮ \(P_1\) finite element methods for a weighted elliptic state-constrained optimal control problem ⋮ A New Convergence Analysis of Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints ⋮ Finite element methods for one dimensional elliptic distributed optimal control problems with pointwise constraints on the derivative of the state ⋮ \(P_1\) finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions ⋮ A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints

Uses Software

• deal.ii
• Trilinos

Cites Work

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