Repository: Freie Universit├Ąt Berlin, Math Department

Nonlinear multigrid techniques

Kornhuber, R. (2001) Nonlinear multigrid techniques. In: Theory and Numerics of Differential Equations. Durham 2000. Universitext . Springer Berlin Heidelberg, pp. 179-229. ISBN 978-3-642-07533-9

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In these introductory notes, we focus on smooth and piecewise smooth semilinear elliptic partial differential equations in the framework of convex minimization problems. We present and analyze old and new nonlinear multigrid techniques. Related procedures are often used without proof in practical applications. After a brief motivation of linear multigrid, we principally concentrate on Newton multigrid for smooth problems and on monotone multigrid for the piecewise smooth case.

Item Type:Book Section
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1845
Deposited By: Ekaterina Engel
Deposited On:15 Apr 2016 11:26
Last Modified:15 Apr 2016 11:33

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