{
  "id": "2411.01550",
  "version": "v1",
  "published": "2024-11-03T12:50:10.000Z",
  "updated": "2024-11-03T12:50:10.000Z",
  "title": "A New Error Analysis for Finite Element Methods for Elliptic Neumann Boundary Control Problems with Pointwise Control Constraints",
  "authors": [
    "Susanne C. Brenner",
    "Li-yeng Sung"
  ],
  "comment": "18 pages",
  "categories": [
    "math.NA",
    "cs.NA",
    "math.OC"
  ],
  "abstract": "We present a new error analysis for finite element methods for a linear-quadratic elliptic optimal control problem with Neumann boundary control and pointwise control constraints. It can be applied to standard finite element methods when the coefficient s in the elliptic operator are smooth and also to multiscale finite element methods when the coefficients are rough.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-03T12:50:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N30",
      "65K10",
      "49M41"
    ],
    "keywords": [
      "finite element methods",
      "elliptic neumann boundary control problems",
      "pointwise control constraints",
      "error analysis",
      "elliptic optimal control problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}