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http://dx.doi.org/10.5831/HMJ.2014.36.4.755

OPTIMIZATION FOR THE BUBBLE STABILIZED LEGENDRE GALERKIN METHODS BY STEEPEST DESCENT METHOD  

Kim, Seung Soo (Department of Mathematics (Institute of Pure and Applied Mathematics), Chonbuk National University)
Lee, Yong Hun (Department of Mathematics (Institute of Pure and Applied Mathematics), Chonbuk National University)
Oh, Eun Jung (Department of Mathematics (Institute of Pure and Applied Mathematics), Chonbuk National University)
Publication Information
Honam Mathematical Journal / v.36, no.4, 2014 , pp. 755-766 More about this Journal
Abstract
In the discrete formulation of the bubble stabilized Legendre Galerkin methods, the system of equations includes the artificial viscosity term as the parameter. We investigate the estimation of this parameter to get the optimal solution which minimizes the maximum error. Some numerical results are reported.
Keywords
Steepest descent method; Legendre spectral method; bubble-stabilization; advection-diffusion equation;
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