Structural stability of discontinuous Galerkin schemes

DOI10.1007/s10440-010-9583-5zbMath1208.65127OpenAlexW2058291889MaRDI QIDQ618763

Pierre Sagaut, Claire David

Publication date: 17 January 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-010-9583-5

zbMATH Keywords

solitary wavesstructural stabilitydiscontinuous Galerkin methodnumerical flux

Mathematics Subject Classification ID

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) Qualitative properties of solutions to partial differential equations (35B99)

Related Items

Structural stability of lattice Boltzmann schemes, A method for constructing traveling wave solutions to nonlinear evolution equations

Uses Software

• HE-E1GODF

Cites Work

• Spurious solitons and structural stability of finite-difference schemes for non-linear wave equations
• Structural stability of finite dispersion-relation preserving schemes
• Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
• \(hp\)-discontinuous Galerkin finite element methods with least-squares stabilization
• Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• A Modern Introduction to the Mathematical Theory of Water Waves
• Discontinuous Galerkin method of lines for solving nonstationary singularly perturbed linear problems
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