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Entropy-stable, high-order summation-by-parts discretizations without interface penalties - MaRDI portal

Entropy-stable, high-order summation-by-parts discretizations without interface penalties (Q2302397)

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Entropy-stable, high-order summation-by-parts discretizations without interface penalties
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    Entropy-stable, high-order summation-by-parts discretizations without interface penalties (English)
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    26 February 2020
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    The author combines nodal summation-by-parts operators as in continuous Galerkin methods to construct entropy conservative semidiscretizations of hyperbolic conservation laws. A local projection stabilization is used to reduce possible oscillations and render the scheme entropy dissipative. Numerical results for the linear advection and compressible Euler equations are presented.
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    summation-by-parts
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    entropy stability
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    stabilization
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    continuous Galerkin methods
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