{
  "abstract": "We discuss optimal design problems governed by variational inequalities with unilateral conditions in the domain and involving pointwise boundary observation. We use penalization techniques in the frame of the Hamiltonian approach to shape/topology optimization problems. For the regularization of the penalized problem, we compute the gradient of the reduced objective via novel adjoint systems. In the purely non-smooth case, approximation and sensitivity analysis results are established with respect to functional variations. In the context of non-smooth PDEs, these allow us to state a primal necessary condition, in the sense that the directional derivative of the reduced objective in feasible directions is nonnegative. Numerical examples, based on gradient-type algorithms, are also included.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "name": "Livia Betz"
    },
    {
      "name": "Cornel Marius Murea"
    },
    {
      "name": "Dan Tiba"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/djcw3zbe8r642.bib",
  "cited_by": 0,
  "doi": "10.3934/eect.2026095",
  "fulltext_url": null,
  "id": "djcw3zbe8r642",
  "issns": [
    "2163-2472",
    "2163-2480"
  ],
  "landing_url": "https://hal.science/hal-05733703v1",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "openalex",
      "2205|Topology Optimization in Engineering"
    ]
  ],
  "openalex": "W7204141519",
  "pdf_url": "https://www.aimsciences.org/data/article/export-pdf?id=6a8c18cde078836b279d3ecf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": "American Institute of Mathematical Sciences (AIMS)",
  "ris": "https://research.draconitic.com/paper/djcw3zbe8r642.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:24Z",
      "native_id": "hal-05733703",
      "source": "hal",
      "url": "https://hal.science/hal-05733703v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "Pointwise boundary observation in geometric optimization problems associated to variational inequalities",
  "title_text": "Pointwise boundary observation in geometric optimization problems associated to variational inequalities",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:24Z",
  "url": "https://research.draconitic.com/paper/djcw3zbe8r642",
  "venue": "Evolution Equations and Control Theory",
  "versions": []
}