A Hybrid Discontinuous Galerkin Method for Transport Equations on Networks

DOI10.1007/978-3-030-43651-3_45zbMath1454.65163arXiv2001.08004OpenAlexW3035946864MaRDI QIDQ5117473

Herbert Egger, Nora Philippi

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08004

zbMATH Keywords

transport problemspartial differential equations on networkshybrid discontinuous Galerkin methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Transport equations (35Q49)

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Optimal Dirichlet control of partial differential equations on networks, A hybrid-dG method for singularly perturbed convection-diffusion equations on pipe networks

Cites Work

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