522
views
1
recommends
+1 Recommend
2 collections
52
shares
• Record: found
• Abstract: found
• Poster: 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.

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.

Author and article information

Journal
10.14293/P2199-8442.1.SOP-MATH.POLGCI.v1

Applied mathematics, Numerical methods, Functional analysis