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HIGH-ORDER-ACCURATE DISCRETIZATION STENCIL FOR AN ELLIPTIC EQUATION (1996)

ARAD, M. ; YAKHOT, A. ; BEN-DOR, G.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 23 (1996), S. 367-377

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ISSN: 0271-2091

Keywords: discretization ; high-order accuracy ; duct flow ; Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Notes: The coefficients for a nine-point high-order-accurate discretization scheme for an elliptic equation ∇2u- γ2u=r0 (∇2 is the two-dimensional Laplacian operator) are derived. Examples with Dirichlet and Neumann boundary condtions are considered. In order to demonstrate the high-order accuracy of the method, numerical results are compared with exact solutions.

Additional Material: 3 Ill.

Type of Medium: Electronic Resource

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