A Galerkin Method for Liquid Pipelines
The flow of a liquid in a pipe is described by a first-order hyperbolic system. This paper provides an a priori error analysis for a Galerkin method for the approximate solution of this system. The continuous-time Galerkin method and a linearized-Crank-Nicolson version of it are treated.
KeywordsGalerkin Method Differential System Homogeneous Linear System Positive Definite Symmetrizer Pipe Expansion
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