East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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A CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS

  • Ohm, Mi Ray (Division of Mechatronics Engineering, Dongseo University) ;
  • Shin, Jun Yong (Department of Applied Mathematics, Pukyong National University)
  • Received : 2016.06.10
  • Accepted : 2016.09.27
  • Published : 2016.09.30
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Abstract

A Crank-Nicolson characteristic finite element method is introduced to construct approximate solutions of a Sobolev equation with a convection term. The higher order of convergences in the temporal direction and in the spatial direction in $L^2$ normed space are verified for the Crank-Nicolson characteristic finite element method.

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References

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  2. AN EXTRAPOLATED CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS vol.36, pp.3, 2016, https://doi.org/10.14317/jami.2018.257
  3. AN EXTRAPOLATED HIGHER ORDER CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS vol.34, pp.5, 2018, https://doi.org/10.7858/eamj.2018.040