Date:

2025-04-30

Title of Paper:

Implicit Chebyshevspectralelementmethodforacousticswaveequations

Journal:

Finite ElementsinAnalysisandDesign

Summary:

In thepresentstudy,theChebyshevspectralelementmethodcoupledwiththeimplicitNewmarktime
integralmethodisinvestigatedtosimulateacousticfield.Theapproachisfirstappliedtoanumerical
example.Inthiscase,thenumericalresultisconsistentwiththereferencesolution,andtheinfluenceof
time stepandNewmarkfactoronnumericalaccuracyisstudied.Theresultingfiguresindicatethatthe
smallerthetimestepandNewmarkfactorare,thehigherthenumericalaccuracywillbe.Thedivision
patternofcomputationaldomaincanaffectthenumericalaccuracy,whichindicatesthatthenumerical
accuracy canbeimprovedwhenthegridnodestendtobedistributeduniformlyinthecomputational
domain.Secondly,anumericalexampleisusedtoinvestigatetheabsorbingboundarycondition,the
result ofwhichindicatesthattheabsorbingboundaryconditionabsorbsthenumericalreflection
whereastheDirichletboundaryconditioncausesthenumericalreflection.Moreover,theapproachis
also employedforwaveequationwithsourcetermssuchasmonopole,dipoleandquadrapole,whose
numericalresultskeeptheirradiationtraitsintactly.

Co-author:

Changyun Zhu, GuoliangQin,JiazhongZhang

Volume:

47(2)

Page Number:

184–194

Translation or Not:

No

Date of Publication:

2011-01-26