A discontinuous Galerkin-front tracking scheme and its optimal-optimal error estimation

DOI10.1016/J.CAM.2015.07.024zbMath1330.65154arXiv1312.2519OpenAlexW1469692675MaRDI QIDQ495074

Adamou Fode, Tong Sun

Publication date: 9 September 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2519

zbMATH Keywords

error estimationdiscontinuous Galerkin methodnonlinear conservation lawfront trackingnumerical smoothness

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

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• Numerical solutions of partial differential equations
• Numerical smoothness and error analysis for RKDG on the scalar nonlinear conservation laws
• Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data
• Error Estimates for the Runge–Kutta Discontinuous Galerkin Method for the Transport Equation with Discontinuous Initial Data
• Conservative Front Tracking with Improved Accuracy
• Error Estimates to Smooth Solutions of Runge--Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws
• 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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