LCD method in KSP
Barry Smith
bsmith at mcs.anl.gov
Thu Oct 25 15:56:54 CDT 2007
Oh, I see it is missing a manual page. I have just written one. Here it is
/*MC
KSPLCD - Implements the LCD (left conjugate direction) method in PETSc.
Options Database Keys:
+ -ksp_lcd_restart - number of vectors conjudate
- -ksp_lcd_haptol - tolerance for exact convergence (happing ending)
Level: beginner
References:
- J.Y. Yuan, G.H.Golub, R.J. Plemmons, and W.A.G. Cecilio. Semiconjugate
direction methods for real positive definite system. BIT Numerical
Mathematics, 44(1):189-207,2004.
- Y. Dai and J.Y. Yuan. Study on semi-conjugate direction methods for
non-symmetric systems. International Journal for Numerical Methods in
Engineering, 60:1383-1399,2004.
- L. Catabriga, A.L.G.A. Coutinho, and L.P.Franca. Evaluating the LCD
algorithm for solving linear systems of equations arising from implicit
SUPG formulation of compressible flows. International Journal for
Numerical Methods in Engineering, 60:1513-1534,2004
- L. Catabriga, A. M. P. Valli, B. Z. Melotti, L. M. Pessoa,
A. L. G. A. Coutinho, Performance of LCD iterative method in the finite
element and finite difference solution of convection-diffusion
equations, Communications in Numerical Methods in Engineering, (Early
View).
Contributed by: Lucia Catabriga <luciac at ices.utexas.edu>
.seealso: KSPCreate(), KSPSetType(), KSPType (for list of available types), KSP,
KSPCGSetType(), KSPLCDSetRestart(), KSPLCDSetHapTol()
M*/
I know nothing beyond this.
Barry
On Thu, 25 Oct 2007, Keita Teranishi wrote:
> Hi,
>
>
>
> I am in trouble to find any document on a relatively new method called LCD in KSP even though it listed in the KSP_TYPE document. I am wondering whether LCD is fully supported by the current version of PETSc,
>
>
>
> Thanks,
>
> ================================
> Keita Teranishi
> Math Software Group
> Cray Inc.
> keita at cray.com
> ================================
>
>
>
>
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