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Fast Iterative Solver for Convection-Diffusion Systems with Spectral Elements

Published

Author(s)

Aaron Lott, Howard Elman

Abstract

We introduce a solver and preconditioning technique based on Domain Decomposition and the Fast Diagonalization Method that can be applied to tensor product based discretizations of the steady convection-diffusion equation. The method is based on iterative substructuring where fast diagonalization is used to efficiently eliminate the interior degrees of freedom and subsidiary subdomain solves. We demonstrate the effectiveness of this method in numerical simulations using a spectral element discretization.
Citation
Numerical Methods for Partial Differential Equations
Volume
27
Issue
2

Keywords

Convection-Diffusion, Domain Decomposition, Preconditioning, Spectral Element Method

Citation

Lott, A. and Elman, H. (2009), Fast Iterative Solver for Convection-Diffusion Systems with Spectral Elements, Numerical Methods for Partial Differential Equations, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=901466 (Accessed July 21, 2024)

Issues

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Created October 16, 2009, Updated June 2, 2021