Arbitrary Lagrangian--Eulerian Discontinuous Galerkin Method for Hyperbolic Equations Involving $\delta$-Singularities

DOI10.1137/19M1268008zbMath1473.65198OpenAlexW3000280516MaRDI QIDQ5210540

Yinhua Xia, Xue Hong

Publication date: 21 January 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1268008

zbMATH Keywords

error estimateshyperbolic equations\(\delta\)-singularitiesmoving meshesarbitrary Lagrangian-Eulerian discontinuous Galerkin method

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Negative norm estimates for arbitrary Lagrangian-Eulerian discontinuous Galerkin method for nonlinear hyperbolic equations ⋮ Arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for KdV type equations ⋮ A Lifting Method for Krause’s Consensus Model ⋮ A generalized Eulerian-Lagrangian discontinuous Galerkin method for transport problems ⋮ A conservative Eulerian-Lagrangian Runge-Kutta discontinuous Galerkin method for linear hyperbolic system with large time stepping ⋮ Arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for linear convection-diffusion equations

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