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Mathematics of Computation

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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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Article copyright: © Copyright 1980 American Mathematical Society