{
  "id": "2008.12591",
  "version": "v1",
  "published": "2020-08-28T11:39:47.000Z",
  "updated": "2020-08-28T11:39:47.000Z",
  "title": "Convergence of adaptive stochastic collocation with finite elements",
  "authors": [
    "Michael Feischl",
    "Andrea Scaglioni"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "We consider an elliptic partial differential equation with a random diffusion parameter discretized by a stochastic collocation method in the parameter domain and a finite element method in the spatial domain. We prove convergence of an adaptive algorithm which adaptively enriches the parameter space as well as refines the finite element meshes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-28T11:39:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "adaptive stochastic collocation",
      "convergence",
      "elliptic partial differential equation",
      "random diffusion parameter",
      "finite element method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}