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http://dx.doi.org/10.7858/eamj.2019.045

A SPLIT LEAST-SQUARES CHARACTERISTIC MIXED ELEMENT METHOD FOR SOBOLEV EQUATIONS WITH A CONVECTION TERM  

Ohm, Mi Ray (Division of Mechatronics Engineering Dongseo University)
Shin, Jun Yong (Department of Applied Mathematics Pukyong National University)
Publication Information
East Asian mathematical journal / v.35, no.5, 2019 , pp. 569-587 More about this Journal
Abstract
In this paper, we consider a split least-squares characteristic mixed element method for Sobolev equations with a convection term. First, to manipulate both convection term and time derivative term efficiently, we apply a characteristic mixed element method to get the system of equations in the primal unknown and the flux unknown and then get 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 prove the optimal order in $L^2$ and $H^1$ normed spaces for the primal unknown and the suboptimal order in $L^2$ normed space for the flux unknown.
Keywords
Sobolev equations; a convection term; a split least-squares method; characteristic mixed element method;
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Times Cited By KSCI : 1  (Citation Analysis)
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