Numerical error estimation for nonlinear hyperbolic PDEs via nonlinear error transport

DOI10.1016/j.cma.2011.11.021zbMath1243.65102OpenAlexW1992244398MaRDI QIDQ438106

Jeffrey W. Banks, Jeffrey A. F. Hittinger, Carol S. Woodward, Jeffrey Mark Connors

Publication date: 20 July 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2011.11.021

zbMATH Keywords

weak solutionsfinite volume methodsfinite difference methodshyperbolic equationsa posteriori error estimation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Weak solutions to PDEs (35D30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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