A computational method for model reduction in index-2 dynamical systems for Stokes equations - Archive ouverte HAL Access content directly
Journal Articles Computers & Mathematics with Applications Year : 2021

A computational method for model reduction in index-2 dynamical systems for Stokes equations

A. Chkifa
  • Function : Author
A. Ratnani

Abstract

Our aim through this paper is to describe a Krylov based projection method in order to reduce high-order dynamical systems. We focus on differential algebraic equations (DAEs) of index-2 that arise from spatial discretization of Stokes equations. An efficient algorithm based on a projection technique onto an extended block Krylov subspace that appropriately allows us to construct a reduced order system is described. Numerical results are provided to confirm the performance of the derived method compared with other known ones.

Dates and versions

hal-04413527 , version 1 (23-01-2024)

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A. Chkifa, M.A. Hamadi, Khalide Jbilou, A. Ratnani. A computational method for model reduction in index-2 dynamical systems for Stokes equations. Computers & Mathematics with Applications, 2021, 99, pp.171-181. ⟨10.1016/j.camwa.2021.08.009⟩. ⟨hal-04413527⟩
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