000003770 001__ 3770
000003770 005__ 20141118153347.0
000003770 04107 $$acze
000003770 046__ $$k2008-05-12
000003770 100__ $$aKruis, J.
000003770 24500 $$aPRECONDITIONING OF THE CONJUGATE GRADIENT METHOD BASED ON AGGREGATION ALGORITHM

000003770 24630 $$n14$$pEngineering Mechanics 2008
000003770 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Brno
000003770 506__ $$arestricted
000003770 520__ $$2eng$$aEfficient solvers for large systems of algebraic equations are still in the center of attention because time devoted to the solution of such systems is the main part of computational time. This contribution deals with preconditioning of the conjugate gradient method by the aggregation method. The preconditioning described is useful especially for very ill-conditioned problems which lead to thousands of iterations. Unknowns are aggregated to non-overlapped aggregates and a smoothing procedure is used for generation of the overlap. Correction operators are defined and used for computation of the new residual in the conjugate gradient method. Several plate problems are solved and results are summarized at the end of this paper.

000003770 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000003770 653__ $$a

000003770 7112_ $$aEngineering Mechanics 2008$$cSvratka (CZ)$$d2008-05-12 / 2008-05-15$$gEM2008
000003770 720__ $$aKruis, J.$$iMayer, P.
000003770 8560_ $$ffischerc@itam.cas.cz
000003770 8564_ $$s437818$$uhttps://invenio.itam.cas.cz/record/3770/files/Kruis_FT.pdf$$y
             Original version of the author's contribution as presented on CD, , page 473.
            
000003770 962__ $$r3717
000003770 980__ $$aPAPER