East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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A HIGHER ORDER SPLIT LEAST-SQUARES CHARACTERISTIC MIXED 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 : 2022.01.21
  • Accepted : 2022.04.03
  • Published : 2022.05.18
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Abstract

In this paper, we introduce a higher order split least-squares characteristic mixed element scheme for Sobolev equations. First, we use a characteristic mixed element method to manipulate both convection term and time derivative term efficiently and obtain the system of equations in the primal unknown and the flux unknown. Second, we define a least-squares minimization problem and a least-squares characteristic mixed element scheme. Finally, we obtain a split least-squares characteristic mixed element scheme for the given problem whose system is uncoupled in the unknowns. We establish the convergence results for the primal unknown and the flux unknown with the second order in a time increment.

Keywords

Acknowledgement

This work was supported by a Research Grant of Pukyong National University(2021).

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