000018483 001__ 18483
000018483 005__ 20170118182224.0
000018483 04107 $$aeng
000018483 046__ $$k2017-01-09
000018483 100__ $$aXu, Junjie
000018483 24500 $$aA Novel Time Continuous P-Galerkin (Tcg) Scheme With 2p-Order Accuracy for Seismic Dynamic Analysis

000018483 24630 $$n16.$$pProceedings of the 16th World Conference on Earthquake Engineering
000018483 260__ $$b
000018483 506__ $$arestricted
000018483 520__ $$2eng$$aA novel time continuous p-Galerkin (TCG) scheme for seismic dynamic analysis is proposed. Based on the new variational expression transformed from integration of the standard weak form of weighted-residual-method by parts, a new recurrence relation is derived. The convergence order of the of the displacement and velocity calculated by the derived recurrence relation is up to 2p, which is twice that of the standard TCG method and is one order higher than that of the standard timediscontinuous Galerkin (TDG) method at the same number of degrees of freedom. Examples of a SDOF and a Multi-DOF system are given to verify the accuracy of new TCG scheme. Simple numerical tests show a significant reduction in the computation time for the new TCG scheme in comparison to that for the Newmark method.

000018483 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000018483 653__ $$atime continuous p-Galerkin, linear elasto-dynamics, 2p-order accuracy, weighted-residual-method

000018483 7112_ $$a16th World Conference on Earthquake Engineering$$cSantiago (CL)$$d2017-01-09 / 2017-01-13$$gWCEE16
000018483 720__ $$aXu, Junjie
000018483 8560_ $$ffischerc@itam.cas.cz
000018483 8564_ $$s161223$$uhttps://invenio.itam.cas.cz/record/18483/files/1545.pdf$$yOriginal version of the author's contribution as presented on USB, paper 1545.
000018483 962__ $$r16048
000018483 980__ $$aPAPER