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On An Efficient Solution Strategy Of Newton Type For Implicit Finite Element Schemes Based On Algebraic Flux Correction

M. Möller
Published 2008 · Mathematics

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A discrete Newton approach is applied to implicit flux-limiting schemes based on the concept of algebraic flux correction. The Jacobian matrix is approximated by divided differences and assembled edge by edge. The use of a nodal flux limiter leads to an extended stencil which can be constructed a priori. Numerical examples for 2D benchmark problems are presented to compare the performance of the algebraic Newton method with the defect correction approach. Copyright © 2007 John Wiley & Sons, Ltd.
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