Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws on moving simplex meshes (Q5380092)

scientific article; zbMATH DE number 7066479

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English	Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws on moving simplex meshes	scientific article; zbMATH DE number 7066479

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instance of

scholarly article

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title

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

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Mathematics of Computation

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publication date

14 June 2019

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full work available at URL

https://arxiv.org/abs/1812.10364

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zbMATH Keywords

arbitrary Lagrangian-Eulerian discontinuous Galerkin method

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conservation laws

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moving simplex meshes

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geometric conservation law

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\(L^2\)-stability

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error estimates

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maximum principle

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MaRDI publication profile

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cites work

Q5737099

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Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes

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Q5301029

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Q2778914

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The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems

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Runge--Kutta discontinuous Galerkin methods for convection-dominated problems

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Perspective on the geometric conservation law and finite element methods for ALE simulations of incompressible flow

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The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids.

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Total variation diminishing Runge-Kutta schemes

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Strong Stability-Preserving High-Order Time Discretization Methods

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On the significance of the geometric conservation law for flow computations on moving meshes

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On a Cell Entropy Inequality for Discontinuous Galerkin Methods

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Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension

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An arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for Hamilton-Jacobi equations

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Metric identities and the discontinuous spectral element method on curvilinear meshes

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A provably stable discontinuous Galerkin spectral element approximation for moving hexahedral meshes

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FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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Flux correction tools for finite elements

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Geometric conservation laws for flow problems with moving boundaries and deformable meshes, and their impact on aeroelastic computations

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Geometric Conservation Law and Its Application to Flow Computations on Moving Grids

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A discontinuous Galerkin ALE method for compressible viscous flows in moving domains

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<i>A priori</i>error estimates to smooth solutions of the third order Runge–Kutta discontinuous Galerkin method for symmetrizable systems of conservation laws

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Construction of the discrete geometric conservation law for high-order time-accurate simulations on dynamic meshes

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Discontinuous Galerkin spectral element approximations on moving meshes

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Convergence of Generalized MUSCL Schemes

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Discontinuous Galerkin solution of the Navier-Stokes equations on deformable domains

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Total-Variation-Diminishing Time Discretizations

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A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods

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Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations

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Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem

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Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws

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Error Estimates to Smooth Solutions of Runge–Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws

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Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws

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Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data

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On maximum-principle-satisfying high order schemes for scalar conservation laws

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Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes

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Identifiers

zbMATH Open document ID

1462.65140

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:5380092