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Dune-CurvedGrid -- A Dune module for surface parametrization

Mathematical Software 2022-02-18 v3 Computational Geometry

Abstract

In this paper we introduce and describe an implementation of curved (surface) geometries within the Dune framework for grid-based discretizations. Therefore, we employ the abstraction of geometries as local-functions bound to a grid element, and the abstraction of a grid as connectivity of elements together with a grid-function that can be localized to the elements to provide element local parametrizations of the curved surface.

Keywords

Cite

@article{arxiv.2009.04938,
  title  = {Dune-CurvedGrid -- A Dune module for surface parametrization},
  author = {Simon Praetorius and Florian Stenger},
  journal= {arXiv preprint arXiv:2009.04938},
  year   = {2022}
}

Comments

26 pages

R2 v1 2026-06-23T18:26:57.447Z