Performance of LCD iterative method in the nite element and nite di erence solution of convection–di usion equations

نویسندگان

  • L. Catabriga
  • A. M. P. Valli
  • B. Z. Melotti
  • L. M. Pessoa
  • A. L. G. A. Coutinho
چکیده

In this work, we evaluate the performance of the left conjugate direction method (LCD) for the solution of non-symmetric systems of linear equations arising from nite element and nite di erence discretizations of the convection–di usion equation. We extend the LCD algorithm proposed by Dai and Yuan (Int. J. Numer. Meth. Engng 2004; 60:1383–1399) to accommodate restarts. Our discussion considers comparison studies between the computational e ciency of the GMRES and LCD methods and some issues related to the choice of the forcing term in the inexact Newton method. Copyright ? 2005 John Wiley & Sons, Ltd.

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تاریخ انتشار 2006