Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws
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Publication:777609
DOI10.1016/j.jcp.2020.109411zbMath1436.65141arXiv1909.03328OpenAlexW3010658891MaRDI QIDQ777609
Manuel Quezada de Luna, Dmitri Kuzmin
Publication date: 7 July 2020
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.03328
finite elementshyperbolic conservation lawsinvariant domainspositivity preservationalgebraic flux correctionconvex limiting
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (13)
Maximum principle preserving space and time flux limiting for diagonally implicit Runge-Kutta discretizations of scalar convection-diffusion equations ⋮ Monolithic convex limiting in discontinuous Galerkin discretizations of hyperbolic conservation laws ⋮ Bounds-constrained polynomial approximation using the Bernstein basis ⋮ An enhanced non-oscillatory BFECC algorithm for finite element solution of advective transport problems ⋮ Spectral analysis of high order continuous FEM for hyperbolic PDEs on triangular meshes: influence of approximation, stabilization, and time-stepping ⋮ A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations ⋮ Finite element-based invariant-domain preserving approximation of hyperbolic systems: beyond second-order accuracy in space ⋮ A Posteriori Local Subcell Correction of High-Order Discontinuous Galerkin Scheme for Conservation Laws on Two-Dimensional Unstructured Grids ⋮ Sparse invariant domain preserving discontinuous Galerkin methods with subcell convex limiting ⋮ Entropy conservation property and entropy stabilization of high-order continuous Galerkin approximations to scalar conservation laws ⋮ A new perspective on flux and slope limiting in discontinuous Galerkin methods for hyperbolic conservation laws ⋮ Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws ⋮ A subcell-enriched Galerkin method for advection problems
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