Entropy stable essentially nonoscillatory methods based on RBF reconstruction
From MaRDI portal
Publication:5230156
DOI10.1051/m2an/2019011zbMath1437.35484OpenAlexW2933036420WikidataQ128151641 ScholiaQ128151641MaRDI QIDQ5230156
Fabian Mönkeberg, Jan S. Hesthaven
Publication date: 20 August 2019
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2019011
finite volume methodsradial basis functionsfinite differenceshigh-order accuracyentropy stabilityENO reconstructionsign-property
Hyperbolic conservation laws (35L65) 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) Numerical interpolation (65D05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Summation-by-Parts Operators for General Function Spaces ⋮ RBF WENO reconstructions with adaptive order and applications to conservation laws ⋮ Development of a WENO scheme based on radial basis function with an improved convergence order ⋮ Towards stable radial basis function methods for linear advection problems ⋮ Two-dimensional RBF-ENO method on unstructured grids ⋮ Multi-dimensional summation-by-parts operators for general function spaces: theory and construction ⋮ A new type of non-polynomial based TENO scheme for hyperbolic conservation laws ⋮ Order enhanced finite volume methods through non-polynomial approximation ⋮ Hybrid high-resolution RBF-ENO method ⋮ Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations ⋮ Stabilizing radial basis function methods for conservation laws using weakly enforced boundary conditions ⋮ RBF based CWENO method
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