The induced dimension reduction method applied to convection-diffusion-reaction problems
Reinaldo Astudillo (TU Delft - Numerical Analysis)
Martin B. Gijzen (TU Delft - Numerical Analysis)
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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].