A finite element method for first order hyperbolic equations

Baker, Garth A.

doi:10.1090/S0025-5718-1975-0400744-5

A finite element method for first order hyperbolic equations
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Math. Comp. 29 (1975), 995-1006 Request permission

Abstract:

A class of finite element methods is proposed for first order hyperbolic equations. The expository example chosen is of a single equation in one space dimension with constant coefficients. Optimal ${L^2}$ error estimates are derived for both approximations continuous in the time variable and an approximation scheme discrete in time.

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