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A simple method to generate high-order accurate convection operators for explicit schemes based on linear finite elements (1981)

Donéa, J. ; Giuliani, S.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 1 (1981), S. 63-79

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ISSN: 0271-2091

Keywords: Heat Transfer ; Convection Finite ; Element Method ; 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: A simple method is proposed to generate high-order accurate convection operators for lumped-explicit schemes based on linear or multilinear finite elements. The basic idea is to reduce the truncation error on the first-order spatial derivatives by exploiting the consistent mass matrix of the finite element method in a purely explicit multistep procedure. The effectiveness of the method is demonstrated on pure convection problems in one and two dimensions.

Additional Material: 11 Ill.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/fld.1650010106

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