Hermitian and Skew-Hermitian splitting methods for streamline upwind Petrov-Galerkin approximations of a grid-aligned flow problem

Autor:	Ashvin Gopaul, Mohammad Sameer Sunhaloo, Jeetendre Narsoo, Muddun Bhuruth
Rok vydání:	2008
Předmět:	Mathematical optimization Skew-Hermitian matrix Computer science Iterative method Convergence (routing) Applied mathematics Bilinear interpolation Galerkin method Coefficient matrix Hermitian matrix Finite element method
Zdroj:	2008 International Conference on Innovations in Information Technology.
DOI:	10.1109/innovations.2008.4781713
Popis:	In this paper, we study the convergence of two-step iterative methods based on Hermitian and skew-Hermitian splitting of the coefficient matrix for solving the linear systems obtained from the bilinear finite element discretisation of a model two-dimensional convection-diffusion problem. Analytic expressions for the optimal convergence factors are derived. The inexact and preconditioned versions of the methods have been analyzed via an extensive set of computational experiments.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::83028de549aeeedc7c1c0c46002291a0 https://doi.org/10.1109/innovations.2008.4781713 Zobrazit plný text záznamu