A finite element method for first-order hyperbolic systems

Author:
Mitchell Luskin

Journal:
Math. Comp. **35** (1980), 1093-1112

MSC:
Primary 65N30; Secondary 65M15, 76N15

DOI:
https://doi.org/10.1090/S0025-5718-1980-0583489-2

MathSciNet review:
583489

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Abstract: A new finite element method is proposed for the numerical solution of a class of initial-boundary value problems for first-order hyperbolic systems in one space dimension. An application of our procedure to a system modeling gas flow in a pipe is discussed. Asymptotic error estimates are derived in the norm in space.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1980-0583489-2

Article copyright:
© Copyright 1980
American Mathematical Society