Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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AN EXTRAPOLATED 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 : 2016.07.19
  • Accepted : 2016.10.17
  • Published : 2017.07.31
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Abstract

We introduce an extrapolated Crank-Nicolson characteristic finite element method to approximate solutions of a convection dominated Sobolev equation. We obtain the higher order of convergence in both the spatial direction and the temporal direction in $L^2$ normed space for the extrapolated Crank-Nicolson characteristic finite element method.

Keywords

Acknowledgement

Supported by : Pukyong National University

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