arXiv Open Access 2019

Discontinuous Galerkin approximations for an optimal control problem of three-dimensional Navier-Stokes-Voigt equations

Cung The Anh Tran Minh Nguyet

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Abstrak

We analyze a fully discrete scheme based on the discontinuous (in time) Galerkin approach, which is combined with conforming finite element subspaces in space, for the distributed optimal control problem of the three-dimensional Navier-Stokes-Voigt equations with a quadratic objective functional and box control constraints. The space-time error estimates of order $O(\sqrtτ+h)$, where $τ$ and $h$ are respectively the time and space discretization parameters, are proved for the difference between the locally optimal controls and their discrete approximations.

Topik & Kata Kunci

math.AP

Penulis (2)

Cung The Anh

Tran Minh Nguyet

Format Sitasi

APA MLA BibTeX

Anh, C.T., Nguyet, T.M. (2019). Discontinuous Galerkin approximations for an optimal control problem of three-dimensional Navier-Stokes-Voigt equations. https://arxiv.org/abs/1906.06679

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓