Theoretical and numerical studies of the \(P_NP_M\) DG schemes in one space dimension.

DOI10.21136/AM.2019.0226-18OpenAlexW2990085192MaRDI QIDQ2280462

Abdulatif Badenjki, Gerald Warnecke

Publication date: 18 December 2019

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

Full work available at URL: https://doi.org/10.21136/am.2019.0226-18

zbMATH Keywords

conservation lawprojectionreconstructionadvection equationtime discretizationdiscontinuous Galerkinleast squarepiecewise polynomialvon Neumann stability analysis\(P_NP_M\) DG schemelocal continuous space time Galerkin method

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) 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)

Uses Software

• DLMF

Cites Work

• A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
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