{
  "id": "2309.13028",
  "version": "v1",
  "published": "2023-09-22T17:43:09.000Z",
  "updated": "2023-09-22T17:43:09.000Z",
  "title": "Minimization of energy functionals via FEM: implementation of hp-FEM",
  "authors": [
    "Miroslav Frost",
    "Alexej Moskovka",
    "Jan Valdman"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "Many problems in science and engineering can be rigorously recast into minimizing a suitable energy functional. We have been developing efficient and flexible solution strategies to tackle various minimization problems by employing finite element discretization with P1 triangular elements [1,2]. An extension to rectangular hp-finite elements in 2D is introduced in this contribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-22T17:43:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "implementation",
      "employing finite element discretization",
      "p1 triangular elements",
      "rectangular hp-finite elements",
      "flexible solution strategies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}