Error estimates for forward Euler shock capturing finite element approximations of the one-dimensional Burgers' equation

DOI10.1142/S0218202515500517zbMath1327.76092arXiv1111.1182MaRDI QIDQ3448339

Erik Burman

Publication date: 23 October 2015

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1182

zbMATH Keywords

error estimatesBurgers equationshock capturingstabilized finite elemnet method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) 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 (2)

Some Observations on the Interaction Between Linear and Nonlinear Stabilization for Continuous Finite Element Methods Applied to Hyperbolic Conservation Laws ⋮ Semi-discrete and fully discrete HDG methods for Burgers' equation

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