A posteriori error estimates in finite difference techniques

DOI10.1016/0021-9991(88)90077-0zbMath0641.65074OpenAlexW1978853753MaRDI QIDQ1100863

B. George

Publication date: 1988

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90077-0

zbMATH Keywords

inviscid flowa posteriori error estimatesfinite differencemembrane

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Membranes (74K15) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (3)

A self‐adaptive method for the GFDF solution of parabolic problems defined over 3D domains of general shape ⋮ Experiments with a local adaptive grid \(h\)-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs ⋮ A posteriori estimates of the solution error caused by discretization in the finite element, finite difference and boundary element methods

Cites Work

• Adaptive refinement with truncation error injection
• Variational methods in theoretical mechanics
• Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
• The self-equilibration of residuals and complementarya posteriori error estimates in the finite element method
• A‐posteriori error estimates for the finite element method
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