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Virtual element approximations for distributed or Neumann boundary optimal control problems governed by poroelasticity equation — arXiv:2608.22107

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.22107
License (as archived): CC0-1.0
Archived: 2026-10-18T08:25:33.703Z
SHA-256 of the archived text: 6a0fbb6ecbcc5a6fb67f895c4f9afda04c28d167c64916c5c09ec54484d1479c
Stable URL of this page: https://metraipolis.com/documento/dc_def97f2dff2b

How to cite

Virtual element approximations for distributed or Neumann boundary optimal control problems governed by poroelasticity equation — arXiv:2608.22107 — arXiv (en), https://arxiv.org/abs/2608.22107 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_def97f2dff2b (Metraipolis archive dc_def97f2dff2b, sha256 6a0fbb6ecbcc5a6fb67f895c4f9afda04c28d167c64916c5c09ec54484d1479c)

BibTeX

@misc{dcdef97f2dff2b,
  title = {Virtual element approximations for distributed or Neumann boundary optimal control problems governed by poroelasticity equation — arXiv:2608.22107},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.22107},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_def97f2dff2b; sha256 6a0fbb6ecbcc5a6fb67f895c4f9afda04c28d167c64916c5c09ec54484d1479c},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.22107. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

This paper investigate the conforming virtual element method for the optimal control problem governed by the linear poroelasticity equation. Both distributed control and Neumann boundary controls are considered with the optimize-then-discretize approach. We establish the well-posedness of the discrete state and adjoint problems in three-field formulation by deriving the first-order optimality condition. The optimal a priori error estimates are developed through a novel poroelastic projection for both control problems, and these estimates are uniform with respect to the relevant physical parameters of the model problem. Moreover, the numerical experiments are carried out using the primal dual active set strategy, and demonstrate the support for the derived theoretical results.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-08-25 in math.OC).
Categorie arXiv: Optimization and Control (math.OC) ; Numerical Analysis (math.NA).
Pagina del lavoro: https://arxiv.org/abs/2608.22107 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-18T08:18:05.689Z dalla pagina https://arxiv.org/catchup/math.OC/2026-08-25?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).