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AN EXTRAPOLATED HIGHER ORDER CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS

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초록

We introduce an extrapolated higher order characteristic fi- nite element method to construct approximate solutions of a Sobolev equa- tion with a convection term. The higher order of convergence in both the temporal direction and the spatial direction in L2 normed space is estab- lished and some computational results to support our theoretical results are presented.

Abstract

We introduce an extrapolated higher order characteristic fi- nite element method to construct approximate solutions of a Sobolev equa- tion with a convection term. The higher order of convergence in both the temporal direction and the spatial direction in L2 normed space is estab- lished and some computational results to support our theoretical results are presented.

참고문헌 (25)

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