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http://dx.doi.org/10.7858/eamj.2014.023

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)
Publication Information
East Asian mathematical journal / v.30, no.3, 2014 , pp. 327-334 More about this Journal
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.
Keywords
Semilinear Sobolev equation; expanded mixed finite element approximation; extrapolated technique;
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Times Cited By KSCI : 1  (Citation Analysis)
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