Preprint No.
A-01-10
Ralf Kornhuber
Nonlinear multigrid techniques
Abstract:
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.
Keywords: nonlinear pdes, variational inequalities,
finite elements, Newton method, multigrid methods
Mathematics Subject Classification (MSC2000): 65N22, 65N30, 65N55, 65K10
Language: ENG
Available: Pr-A-01-10.ps
Pr-A-01-10.ps.gz
Contact: Ralf Kornhuber, Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (kornhube@math.fu-berlin.de)
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