Error Estimate and the Geometric Corrector for the Upwind Finite Volume Method Applied to the Linear Advection Equation

DOI10.1137/040605941zbMath1094.65089OpenAlexW1982083732MaRDI QIDQ5700284

Daniel Bouche, Jean-Michel Ghidaglia, Frédéric P. Pascal

Publication date: 28 October 2005

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1149bc177df13a340f6565dd60f0767138efdab7

zbMATH Keywords

consistencynumerical examplesunstructured mesheserror estimategeometric correctorupwind finite volume method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Initial value problems for first-order hyperbolic systems (35L45)

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Uses Software

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