On conservation and stability properties for summation-by-parts schemes
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Publication:1693918
DOI10.1016/j.jcp.2017.05.002zbMath1380.65172OpenAlexW2616441096MaRDI QIDQ1693918
Jan Nordström, Andrea Alessandro Ruggiu
Publication date: 1 February 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-137544
stabilityboundary conditionshyperbolic problemsconservationinterface conditionssummation-by-parts operators
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) Initial-boundary value problems for first-order hyperbolic equations (35L04)
Related Items (11)
Summation-by-Parts Operators for General Function Spaces ⋮ Generalised summation-by-parts operators and variable coefficients ⋮ A hybrid framework for coupling arbitrary summation-by-parts schemes on general meshes ⋮ Energy stable boundary conditions for the nonlinear incompressible Navier–Stokes equations ⋮ Towards stable radial basis function methods for linear advection problems ⋮ A stable FDTD subgridding scheme with SBP-SAT for transient TM analysis ⋮ Multi-dimensional summation-by-parts operators for general function spaces: theory and construction ⋮ Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes ⋮ Accuracy of stable, high-order finite difference methods for hyperbolic systems with non-smooth wave speeds ⋮ Combining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner ⋮ Error boundedness of discontinuous Galerkin methods with variable coefficients
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