2011/04/17 by Pawan Kumar, Kumar, Pawan
Engineering · Mathematics · #65F08 #65F10 #65F50 #68W10 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
paper · pdf · doi:10.48550/arxiv.1104.3349
openalex publication_date 2011/04/17 · openalex created_date 2022/09/12 · openalex updated_date 2026/07/28
In the context of non overlapping domain decomposition methods, several\nalgebraic approximations of the Dirichlet-to-Neumann (DtN) map are proposed in\n[F. X. Roux, et. al. Algebraic approximation of Dirichlet- to-Neumann maps for\nthe equations of linear elasticity, Comput. Methods Appl. Mech. Engrg., 195,\n2006, 3742-3759]. For the case of non overlapping domains, approximation to the\nDtN are analogous to the approximation of the Schur complements in the\nincomplete multilevel block factorization. In this work, several original and\npurely algebraic (based on graph of the matrix) domain decomposition techniques\nare investigated for steady state incompressible Navier-Stokes equation defined\non uniform and stretched grid for low viscosity. Moreover, the methods proposed\nare highly parallel during both setup and application phase. Spectral and\nnumerical analysis of the methods are also presented.\n