{
  "id": "1511.04400",
  "version": "v1",
  "published": "2015-11-13T18:55:35.000Z",
  "updated": "2015-11-13T18:55:35.000Z",
  "title": "Discretization of Linear Problems in Banach Spaces: Residual Minimization, Nonlinear Petrov-Galerkin, and Monotone Mixed Methods",
  "authors": [
    "Ignacio Muga",
    "Kristoffer G. van der Zee"
  ],
  "comment": "29 pages",
  "categories": [
    "math.NA"
  ],
  "abstract": "This work presents a comprehensive optimal-discretization theory for linear equations in Banach spaces. As part of our theory, a class of nonlinear Petrov-Galerkin projectors is studied, which are key in establishing optimal a priori error estimates involving constants depending on the geometry of the underlying Banach spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-13T18:55:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65J05",
      "65J10",
      "65N30"
    ],
    "keywords": [
      "banach spaces",
      "monotone mixed methods",
      "linear problems",
      "residual minimization",
      "nonlinear petrov-galerkin projectors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}