Preprint No. A-00-15

Ralf Kornhuber, Rolf Krause

Adaptive multigrid methods for Signorini's problem in linear elasticity

Abstract: We derive globally convergent multigrid methods for the discretized Signorini problem in linear elasticity. Special care has to be taken in the case of spatially varying normal directions. In numerical experiments for 2 and 3 space dimensions we observed similar convergence rates as for corresponding linear problems.

Keywords: multigrid methods, contact problems, a posteriori error control

Mathematics Subject Classification (MSC91): 65N30, 65N55, 65K10, 74G65

Language: ENG

Available: Pr-A-00-15.ps (5.6MB), Pr-A-00-15.ps.gz (0.8MB)

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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