A computational method for model reduction in index-2 dynamical systems for Stokes equations. (1st October 2021)

• Record Type: Journal Article
• Authors: Chkifa, A.; Hamadi, M.A.; Jbilou, K.; Ratnani, A.
• Is Part Of: Computers & mathematics with applications. Volume 99(2021)
• Page Start: 171
• Page End: 181
• Publication Date: 2021-10-01
• Subjects: Index 2 systems -- Model order reduction -- Projection methods -- Stokes equations -- Transfer function; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2021.08.009
• Languages: English
• ISSNs: 0898-1221

Abstract

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.