East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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EXTRAPOLATED EXPANDED MIXED FINITE ELEMENT APPROXIMATIONS OF SEMILINEAR SOBOLEV EQUATIONS

  • Ohm, Mi Ray (Division of Information Systems Engineering, Dongseo University) ;
  • Lee, Hyun Young (Department of Mathematics, Kyungsung University) ;
  • Shin, Jun Yong (Department of Applied Mathematics, Pukyong National University)
  • Received : 2014.02.25
  • Accepted : 2014.05.16
  • Published : 2014.05.31
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Abstract

In this paper, we construct extrapolated expanded mixed finite element approximations to approximate the scalar unknown, its gradient and its flux of semilinear Sobolev equations. To avoid the difficulty of solving the system of nonlinear equations, we use an extrapolated technique in our construction of the approximations. Some numerical examples are used to show the efficiency of our schemes.

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References

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