East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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AN EXTRAPOLATED HIGHER ORDER CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS

  • Ohm, Mi Ray (Division of Mechatronics Engineering, Dongseo University) ;
  • Shin, Jun Yong (Department of Applied Mathematics, Pukyong National University)
  • Received : 2018.08.10
  • Accepted : 2018.09.03
  • Published : 2018.09.30
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Abstract

In this paper, we introduce an extrapolated higher order characteristic finite element method to approximate solutions of nonlinear Sobolev equations with a convection term and we establish the higher order of convergence in the temporal and the spatial directions with respect to $L^2$ norm.

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References

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