000003917 001__ 3917
000003917 005__ 20141118153342.0
000003917 04107 $$acze
000003917 046__ $$k2009-05-11
000003917 100__ $$aKolman, R.
000003917 24500 $$aStability analysis of plane serendipity finite element for explicit linear elastodynamics

000003917 24630 $$n15.$$pEngineering Mechanics 2009
000003917 260__ $$bInstitute of Theoretical and Applied Mechanics AS CR, v.v.i., Prague
000003917 506__ $$arestricted
000003917 520__ $$2eng$$aThe central difference method is widely used for the numerical solution of the transient elastodynamics problems by the finite element method. The effectiveness of this explicit conditional stable direct time integration methods is limited by using diagonal mass matrix, which entails significant computational savings and storage advantages. However, for the serendipity type element the construction of such diagonalized matrices is not uniquely defined and various class of lumped mass matrices can be assembled. In this paper the stability analysis for the plane square serendipity finite element is performed for various class of lumped mass matrices. ´

000003917 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000003917 653__ $$a

000003917 7112_ $$aEngineering Mechanics 2009$$cSvratka (CZ)$$d2009-05-11 / 2009-05-14$$gEM2009
000003917 720__ $$aKolman, R.$$iGabriel, D.$$iPlešek, J.
000003917 8560_ $$ffischerc@itam.cas.cz
000003917 8564_ $$s820787$$uhttps://invenio.itam.cas.cz/record/3917/files/Kolman-165-PT.pdf$$y
             Original version of the author's contribution as presented on CD, 165.
            
000003917 962__ $$r3852
000003917 980__ $$aPAPER