Solution of elliptic optimal control problem with pointwise and non-local state constraints

Лапин, А. В.; Zalyalov, D. G.

doi:10.3103/s1066369x17040041

Search citation statements

Order By: Relevance

Paper Sections

Select...

Numerical Assessments1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2018

2024

Publication Types

Select...

Article2

Other1

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2) with integral state and pointwise control constraints. The idea of this example is taken from [38]. Therein, the domain Ω = (0, 1) × (0, 1) and the exact solution is not known.…”

Section: Numerical Assessmentsmentioning

confidence: 99%

Adaptive finite element method for an elliptic optimal control problem with integral state constraints

Porwal,

Shakya

2021

Preprint

View full text Add to dashboard Cite

In this article, we develop a posteriori error analysis of a nonconforming finite element method for a linear quadratic elliptic distributed optimal control problem with two different set of constraints, namely (i) integral state constraint and integral control constraint (ii) integral state constraint and pointwise control constraints. In the analysis, we have taken the approach of reducing the state-control constrained minimization problem into a state minimization problem obtained by eliminating the control variable. The reliability and efficiency of a posteriori error estimator are discussed. Numerical results are reported to illustrate the behavior of the error estimator.

show abstract

“…2) with integral state and pointwise control constraints. The idea of this example is taken from [38]. Therein, the domain Ω = (0, 1) × (0, 1) and the exact solution is not known.…”

Section: Numerical Assessmentsmentioning

confidence: 99%