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Iterative gradient-Newton type methods for steady shock computations
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
1991 (English)In: SIAM, 60-75 p.Article in journal (Refereed) Published
Abstract [en]

A class of modified Newton´s methods are applied to difference approximations of the two-dimensional steady Burgers´ equation and the transonic small disturbance equation. The solutions have sharp gradients which corresponds to boundare layers and shock waves in fluid dynamics. The nonlinear terms in the differential equations are approximated by modern shock capturing schemes. The regularity of the coefficients is analyzed theoretically and its effect on the convengence on the Newton´s method is studied numerically. Computational results from different types of gradient iterative methods and different types of preconditioners are presented. These methods are applied to the linear systems of the Newton iteration. The relative residuals in the Newton iterations are controlled such that a superlinear rate of convergence is preserved 

Place, publisher, year, edition, pages
1991. 60-75 p.
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-90493OAI: diva2:505713
NR 20140805Available from: 2012-02-24 Created: 2012-02-24Bibliographically approved

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Engquist, Björn
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Numerical Analysis, NA
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