A hybrid adaptive finite difference method powered by a posteriori error estimation technique

DOI10.1016/j.cam.2013.04.009zbMath1291.65283OpenAlexW2018171615MaRDI QIDQ2252816

Cheng Wang, Jun Cao, Guofang Zhou, Xin-Zhuang Dong

Publication date: 23 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2013.04.009

zbMATH Keywords

a posteriori error estimationtransient heat conductionfinite difference mesh refinement and re-coarsening

Mathematics Subject Classification ID

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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

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• Local adaptive mesh refinement for shock hydrodynamics
• A posteriori error estimators for the Stokes equations
• A posteriori error estimation and adaptive mesh-refinement techniques
• A posteriori error estimates for the Stokes equations: A comparison
• A Posteriori Error Estimates for the Stokes Problem
• Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
• A‐posteriori error estimates for the finite element method

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