The induced dimension reduction method applied to convection-diffusion-reaction problems

Report (2016)

Authors

R.A. Astudillo Rengifo Numerical Analysis - EEMCS
M.B. van Gijzen Numerical Analysis - EEMCS
Research Group
Numerical Analysis (EEMCS) (TU Delft)
Copyright: © 2016 R.A. Astudillo Rengifo, M.B. van Gijzen
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Published Date

2016

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Numerical Analysis

Abstract

Discretization of (linearized) convection-diusion-reaction problems yields
a large and sparse non symmetric linear system of equations,
Ax = b: (1)
In this work, we compare the computational behavior of the Induced Dimension
Reduction method (IDR(s)) [10], with other short-recurrences Krylov methods,
specically the Bi-Conjugate Gradient Method (Bi-CG) [1], restarted Generalized
Minimal Residual (GMRES(m)) [4], and Bi-Conjugate Gradient Stabilized method
(Bi-CGSTAB) [11].

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