An extrapolated Crank-Nicolson characteristic finite element method for Sobolev equations
Bull. Korean Math. Soc. 2017 Vol. 54, No. 4, 1409-1419
https://doi.org/10.4134/BKMS.b160605
Published online July 31, 2017
Mi Ray Ohm and Jun Yong Shin
Dongseo University, Pukyong National University
Abstract : We introduce an extrapolated Crank-Nicolson characteristic finite element method to approximate solutions of a convection dominated Sobolev equation. We obtain the higher order of convergence in both the spatial direction and the temporal direction in $L^{2}$ normed space for the extrapolated Crank-Nicolson characteristic finite element method.
Keywords : Sobolev equation, extrapolated Crank-Nicolson characteristic finite element method, higher order of convergence
MSC numbers : Primary65M15, 65N30
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