A Novel Time Continuous P-Galerkin (Tcg) Scheme With 2p-Order Accuracy for Seismic Dynamic Analysis
Abstract eng: A 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.
Conference Title:
Conference Title:
16th World Conference on Earthquake Engineering
Conference Venue:
Santiago (CL)
Conference Dates:
2017-01-09 / 2017-01-13
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.
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Record created 2017-01-18, last modified 2017-01-18