000021611 001__ 21611
000021611 005__ 20170622131255.0
000021611 04107 $$aeng
000021611 046__ $$k2017-06-15
000021611 100__ $$aTkachuk, Anton
000021611 24500 $$aASSESSMENT OF THE REFLECTION-TRANSMISSION ERROR FOR RECIPROCAL MASS MATRICES

000021611 24630 $$n6.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000021611 260__ $$bNational Technical University of Athens, 2017
000021611 506__ $$arestricted
000021611 520__ $$2eng$$aThe majority of methods for wave propagation relies on compatible finite elements with a diagonal mass matrix or a discontinuous approximation, e.g. hybridizable discontinuous Galerkin [1]. Recently, several methods were proposed to directly construct a sparse inverse of a mass matrix also called reciprocal mass matrix [2,3,4]. This matrix faciliates direct computation of acceleration from the force vector. This enables efficient explicit computation for compatible finite elements that does not have accurate diagonal mass matrices [5]. Initial analysis showed that these reciprocal mass matrices may be optimized for a low dispersion error inside a homogeneous domain. In case of heterogeneous domains, reflection and transmission on the interfaces may be a source of a leading term in the overall error of the discretization [1]. In this contribution, the reflection-transmission error is studied for several formulations of the reciprocal mass matrix for 1D and 2D cases. 

000021611 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021611 653__ $$a

000021611 7112_ $$aCOMPDYN 2017 - 6th International Thematic Conference$$cRhodes Island (GR)$$d2017-06-15 / 2017-06-17$$gCOMPDYN2017
000021611 720__ $$aTkachuk, Anton$$iBischoff, Manfred
000021611 8560_ $$ffischerc@itam.cas.cz
000021611 8564_ $$s117070$$uhttps://invenio.itam.cas.cz/record/21611/files/17227.pdf$$yOriginal version of the author's contribution as presented on CD, section: [MS15] Non-Linear Dynamics and Wave Propagation
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000021611 962__ $$r21500
000021611 980__ $$aPAPER