On the relation between conservation and dual consistency for summation-by-parts schemes

DOI10.1016/J.JCP.2017.04.072zbMath1380.35124OpenAlexW2615119937MaRDI QIDQ1693917

Fatemeh Ghasemi, Jan Nordström

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-137545

zbMATH Keywords

multiblockinitial boundary value problemsconservationsummation-by-partsdual consistentmultielement

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (4)

Simultaneous approximation terms and functional accuracy for diffusion problems discretized with multidimensional summation-by-parts operators ⋮ Nonlinear and linearised primal and dual initial boundary value problems: when are they bounded? How are they connected? ⋮ On pseudo-spectral time discretizations in summation-by-parts form ⋮ On conservation and dual consistency for summation-by-parts based approximations of parabolic problems

Cites Work

• Unnamed Item
• Dual consistency and functional accuracy: a finite-difference perspective
• Revisiting and extending interface penalties for multi-domain summation-by-parts operators
• A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
• A stable and conservative interface treatment of arbitrary spatial accuracy
• Superconvergent functional output for time-dependent problems using finite differences on summation-by-parts form
• On the impact of boundary conditions on dual consistent finite difference discretizations
• A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
• Superconvergent Functional Estimates from Summation-By-Parts Finite-Difference Discretizations
• A New Method of Imposing Boundary Conditions in Pseudospectral Approximations of Hyperbolic Equations

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