Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws on moving simplex meshes

DOI10.1090/mcom/3417zbMath1462.65140arXiv1812.10364OpenAlexW2904409114WikidataQ114849159 ScholiaQ114849159MaRDI QIDQ5380092

Pei Fu, Gero Schnücke, Yinhua Xia

Publication date: 14 June 2019

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10364

zbMATH Keywords

maximum principleerror estimatesconservation lawsgeometric conservation law\(L^2\)-stabilityarbitrary Lagrangian-Eulerian discontinuous Galerkin methodmoving simplex meshes

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (14)

Negative norm estimates for arbitrary Lagrangian-Eulerian discontinuous Galerkin method for nonlinear hyperbolic equations ⋮ Arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for KdV type equations ⋮ Eulerian--Lagrangian Runge--Kutta Discontinuous Galerkin Method for Transport Simulations on Unstructured Meshes ⋮ A generalized Eulerian-Lagrangian discontinuous Galerkin method for transport problems ⋮ High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields ⋮ A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow ⋮ Arbitrary Lagrangian--Eulerian Discontinuous Galerkin Method for Hyperbolic Equations Involving $\delta$-Singularities ⋮ Positivity-preserving well-balanced arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the shallow water equations ⋮ Arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for linear convection-diffusion equations ⋮ A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux. II: ALE framework ⋮ Superconvergence of Arbitrary Lagrangian--Eulerian Discontinuous Galerkin Methods for Linear Hyperbolic Equations ⋮ The positivity preserving property on the high order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for Euler equations ⋮ Structure-preserving finite volume arbitrary Lagrangian-Eulerian WENO schemes for the shallow water equations ⋮ A high order positivity-preserving polynomial projection remapping method

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