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http://dx.doi.org/10.7858/eamj.2018.040

AN EXTRAPOLATED HIGHER ORDER CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS  

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.34, no.5, 2018 , pp. 601-614 More about this Journal
Abstract
In this paper, we introduce an extrapolated higher order characteristic finite element method to approximate solutions of nonlinear Sobolev equations with a convection term and we establish the higher order of convergence in the temporal and the spatial directions with respect to $L^2$ norm.
Keywords
Nonlinear Sobolev equation; an extrapolated higher order characteristic finite element method; higher order of convergence;
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Times Cited By KSCI : 1  (Citation Analysis)
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