Stability preserving approximations of a semilinear hyperbolic gas transport model

zbMath1466.65129arXiv1812.03726MaRDI QIDQ4964285

Thomas Kugler, Herbert Egger, Björn Liljegren-Sailer

Publication date: 25 February 2021

Full work available at URL: https://arxiv.org/abs/1812.03726

zbMATH Keywords

exponential stabilityuniform estimatesGalerkin approximationsdamped wave equationpartial differential equations on networks

Mathematics Subject Classification ID

Wave equation (35L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Second-order semilinear hyperbolic equations (35L71) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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