Some recent developments in superconvergence of discontinuous Galerkin methods for time-dependent partial differential equations
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Publication:1633503
DOI10.1007/s10915-018-0762-2zbMath1407.65154OpenAlexW2806930856WikidataQ129712304 ScholiaQ129712304MaRDI QIDQ1633503
Publication date: 20 December 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-018-0762-2
superconvergenceLDGdiscontinuous Galerkin (DG) methodcell averagedirect discontinuous Galerkin (DDG) method
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)
Related Items (7)
Superconvergence analysis of the Runge-Kutta discontinuous Galerkin method with upwind-biased numerical flux for two-dimensional linear hyperbolic equation ⋮ Continuous/discontinuous Galerkin difference discretizations of high-order differential operators ⋮ Optimal convergence and superconvergence of semi-Lagrangian discontinuous Galerkin methods for linear convection equations in one space dimension ⋮ Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems ⋮ Superconvergence analysis of the ultra-weak local discontinuous Galerkin method for one dimensional linear fifth order equations ⋮ Superconvergence analysis of the Runge-Kutta discontinuous Galerkin methods for a linear hyperbolic equation ⋮ Local error estimates for Runge-Kutta discontinuous Galerkin methods with upwind-biased numerical fluxes for a linear hyperbolic equation in one-dimension with discontinuous initial data
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