Blog
About

  • Record: found
  • Abstract: found
  • Poster: not found
Is Open Access

Regularization of Operator DAEs

ScienceOpen Posters

ScienceOpen

This work has been published open access under Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com.

operator DAE, regularization, index reduction

Read this article at

ScienceOpen
Bookmark
      There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

      Abstract

      A general framework for the regularization of constrained PDEs, also called operator differential-algebraic equations (DAEs), is presented. For this, we consider semi-explicit systems of first order which includes the Navier-Stokes equations. The proposed reformulation is consistent in the sense that the solution of the PDE remains untouched. However, one can observe improved numerical properties in terms of the sensitivity to perturbations and the fact that a spatial discretization leads to a DAE of lower index, i.e., of differentiation index $1$ instead of differentiation index 2.

      Related collections

      Author and article information

      Journal
      10.14293/P2199-8442.1.SOP-MATH.POLGCI.v1
      ScienceOpen disciplines:
      Keywords:

      Comments

      Comment on this article