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Tushar, Jai; Sau, Ramesh Chandra; Kumar, Anil

Virtual element method for control constrained Dirichlet boundary control problem governed by the diffusion problem. (English) Zbl 1530.65173

J. Sci. Comput. 98, No. 1, Paper No. 21, 26 p. (2024).

MSC: 65N30 65N15 65N12 65K10 49M41 93C20

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Tushar, Jai; Kumar, Anil; Kumar, Sarvesh

Virtual element methods for optimal control problems governed by elliptic interface problems. (English) Zbl 1535.65285

Sharma, Rajesh Kumar (ed.) et al., Frontiers in industrial and applied mathematics. Selected papers based on the presentations at the 4th international conference, FIAM-2021, Punjab, India, December 21–22, 2021. Singapore: Springer. Springer Proc. Math. Stat. 410, 521-533 (2023).

MSC: 65N30 49M41

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Tushar, Jai; Kumar, Anil; Kumar, Sarvesh

Mixed virtual element methods for optimal control of Darcy flow. (English) Zbl 1538.65554

Comput. Math. Appl. 140, 134-153 (2023).

MSC: 65N30 65K10 49J20 49M15 65-02 76S05 49M41 65N15 76M10 35Q35

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Kumar, Anil; Pani, Amiya K.; Joshi, Mohan C.

Approximate controllability of linear parabolic equation with memory. (English) Zbl 1504.65207

Comput. Math. Appl. 128, 320-330 (2022).

MSC: 65M60 35Q49 49M41 65K10 93B05 93C20

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Tushar, Jai; Kumar, Anil; Kumar, Sarvesh

Variational and virtual discretizations of optimal control problems governed by diffusion problems. (English) Zbl 1486.49042

Appl. Math. Optim. 85, No. 2, Paper No. 2, 36 p. (2022).

MSC: 49M25

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Dhayal, Rajesh; Malik, Muslim; Abbas, Syed; Kumar, Anil; Sakthivel, Rathinasamy

Approximation theorems for controllability problem governed by fractional differential equation. (English) Zbl 1485.93064

Evol. Equ. Control Theory 10, No. 2, 411-429 (2021).

Reviewer: Dimplekumar Chalishajar (Lexington)

MSC: 93B05 34A08 49K27 93C25 93C10

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Kumar, Anil; Pani, Amiya K.; Joshi, Mohan C.

Approximate Controllability of a Class of Partial Integro-Differential Equations of Parabolic Type. arXiv:1606.03673

Preprint, arXiv:1606.03673 [math.OC] (2016).

MSC: 49J20 49M30 65K99

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Kumar, Anil; Joshi, Mohan C.; Pani, Amiya K.

On approximation theorems for controllability of nonlinear parabolic problems. (English) Zbl 1137.93011

IMA J. Math. Control Inf. 24, No. 1, 115-136 (2007).

MSC: 93B05 93C20 49M30 35K55

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Joshi, Johan C.; Kumar, Anil

Approximation of exact controllability problem involving parabolic differential equations. (English) Zbl 1109.49036

IMA J. Math. Control Inf. 22, No. 3, 350-363 (2005).

MSC: 49M30 93B05 93C20 35K20

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