Stability of wall boundary condition procedures for discontinuous Galerkin spectral element approximations of the compressible Euler equations

DOI10.1007/978-3-030-39647-3_1zbMath1484.65256arXiv1901.04924OpenAlexW2910037710MaRDI QIDQ2056463

David A. Kopriva, Florian J. Hindenlang, Gregor J. Gassner

Publication date: 2 December 2021

Full work available at URL: https://arxiv.org/abs/1901.04924

zbMATH Keywords

compressible Euler equationsGalerkin spectral element approximations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral methods applied to problems in fluid mechanics (76M22) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical quadrature and cubature formulas (65D32) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

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