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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

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
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 $ {L^2}$ norm in space.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1980-0583489-2
PII: S 0025-5718(1980)0583489-2
Article copyright: © Copyright 1980 American Mathematical Society