Semidefinite linear complementarity problems
Description
Semidefinite linear complementarity problems arise by discretization of variational inequalities describing e.g. elastic contact problems, free boundary value problems etc. In the present paper linear complementarity problems are introduced and the theory as well as the numerical treatment of them are described. In the special case of semidefinite linear complementarity problems a numerical method is presented which combines the advantages of elimination and iteration methods without suffering from their drawbacks. This new method has very attractive properties since it has a high degree of invariance with respect to the representation of the set of all feasible solutions of a linear complementarity problem by linear inequalities. By means of some practical applications the properties of the new method are demonstrated. (orig.)
Availability note (English)
MF available from INIS under the Report Number.Abstract (German)
Semidefinite lineare Komplementaerprobleme entstehen insbesondere bei der Diskretisierung von elliptischen Variationsungleichungen, wie sie etwa bei der numerischen Behandlung von Kontaktproblemen in der Mechanik oder allgemein von freien Randwertproblemen auftreten. In der vorliegenden Arbeit werden zunaechst lineare Komplementaerprobleme definiert und ihre theoretische und praktische Behandlung beschrieben. Speziell fuer semidefinite lineare Komplementaerprobleme wird dann eine numerische Methode vorgestellt, die eine Synthese darstellt von den Eliminationsmethoden und den iterativen Methoden zur Loesung linearer Komplementaerprobleme. Es wird gezeigt, dass diese Methode besonders guenstige Eigenschaften bezueglich der Darstellung der Menge der zulaessigen Punkte durch lineare Ungleichungen hat. An einigen ausgewaehlten Anwendungen werden die Eigenschaften der Methode dargestellt. (orig.)
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Additional details
Additional titles
- Original title (German)
- Semidefinite lineare Komplementaerprobleme
Publishing Information
- Imprint Pagination
- 151 p.
- Report number
- Juel-Spez--6
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 10446381
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Thesis
- Descriptors DEI
- BOUNDARY CONDITIONS; ITERATIVE METHODS; MATHEMATICAL MODELS; MATHEMATICS; NUMERICAL SOLUTION; OPTIMIZATION; VARIATIONAL METHODS