The dune-subgrid module and some applications

  • Authors:
  • Carsten Gräser;Oliver Sander

  • Affiliations:
  • Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 6, 14195, Berlin, Germany;Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 6, 14195, Berlin, Germany

  • Venue:
  • Computing
  • Year:
  • 2009

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Abstract

We present an extension module for the Dune system. This module, called dune-subgrid, allows to mark elements of another Dune hierarchical grid. The set of marked elements can then be accessed as a Dune grid in its own right. dune-subgrid is free software and is available for download (External Dune Modules: www.dune-project.org/downloadext.html). We describe the functionality and use of dune-subgrid, comment on its implementation, and give two example applications. First, we show how dune-subgrid can be used for micro-FE simulations of trabecular bone. Then we present an algorithm that allows to use exact residuals for the adaptive solution of the spatial problems of time-discretized evolution equations.