777
views
1
recommends
+1 Recommend
2 collections
    60
    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.
      operator DAE, regularization, index reduction
      Bookmark

            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.

            Content

            Author and article information

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

            Applied mathematics,Numerical methods,Functional analysis
            operator DAE, regularization, index reduction

            Comments

            Comment on this article