Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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LEAST-SQUARES METHOD FOR THE BUBBLE STABILIZATION BY THE GAUSS-NEWTON 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)
  • Received : 2015.09.21
  • Accepted : 2015.12.22
  • Published : 2016.03.25
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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 least-squares solution which minimizes the sum of the squares of errors at each node points. Some numerical results are reported.

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References

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