Please use this identifier to cite or link to this item:
Full metadata record
DC FieldValueLanguage
dc.contributor.authorShaw, S-
dc.description.abstractWe extend the formulation and a priori error analysis given by Johnson (Discontinuous Galerkin finite element methods for second order hyperbolic problems, Comp. Meth. Appl. Mech. Eng., 107:117—129, 1993) from the acoustic wave equation to a Voigt and Maxwell-Zener viscodynamic system incorporating Rayleigh damping. The elastic term in the Rayleigh damping introduces a multiplicative T1/2 growth in the constant but otherwise the error bound is consistent with that obtained by Johnson, with a constant that grows a priori with T1/2 and also with norms of the solution. Gronwall’s inequality is not used and so we can expect that this bound is of high enough quality to afford confidence in longtime integration. The viscoelasticity is modelled by internal variables that evolve according to ordinary differential equations and so the system shares similarities with dispersive Debye and Drude metamaterial models currently being studied in electromagnetism, as well as to acoustic metamaterial systems. This appears to be the first time an a priori error analysis has been given for DG-in-time treatment of dispersive problems of this type.en_US
dc.subjectdiscontinuous Galerkinen_US
dc.subjectfinite element methoden_US
dc.subjecta priori error estimateen_US
dc.titleextended report for: An a priori error estimate for a temporally discontinuous Galerkin space-time finite element method for linear elasto- and visco-dynamicsen_US
pubs.publication-statusPublished online-
Appears in Collections:Dept of Mathematics Research Papers

Files in This Item:
File Description SizeFormat 
FullText.pdf673.84 kBAdobe PDFView/Open

Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.