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A VIRTUAL ELEMENT METHOD FOR THE ELASTICITY SPECTRAL PROBLEM ALLOWING FOR SMALL EDGES

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dc.creatorFELIPE ANDRÉS LEPE ARAYA
dc.date2023
dc.date.accessioned2025-01-10T15:43:38Z
dc.date.available2025-01-10T15:43:38Z
dc.date.issued2023
dc.description.abstractTHE AIM OF THIS PAPER IS TO ANALYZE A VIRTUAL ELEMENT METHOD FOR THE TWO DIMENSIONAL ELASTICITY SPECTRAL PROBLEM, WHERE THE POLYGONAL MESHES ALLOW FOR THE PRESENCE OF SMALL EDGES. UNDER THIS APPROACH AND WITH THE AID OF THE THEORY OF COMPACT OPERATORS, WE PROVE CONVERGENCE FOR THE PROPOSED VEM AND ERROR ESTIMATES. WE REPORT A SERIES OF NUMERICAL TESTS IN ORDER TO ASSESS THE PERFORMANCE OF THE METHOD WHERE WE ANALYZE THE EFFECTS OF THE POISSON RATIO ON THE COMPUTATION OF THE ORDER OF CONVERGENCE, TOGETHER WITH THE EFFECTS OF THE STABILIZATION TERM ON THE ARISING OF SPURIOUS EIGENVALUES.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s10915-023-02372-6
dc.identifier.issn1573-7691
dc.identifier.issn0885-7474
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13374
dc.languagespa
dc.publisherJOURNAL OF SCIENTIFIC COMPUTING
dc.relation.uri10.1007/s10915-023-02372-6
dc.rightsPUBLICADA
dc.subjectVirtual element method
dc.subjectError estimates
dc.subjectElasticity equations
dc.subjectEigenvalue problems
dc.titleA VIRTUAL ELEMENT METHOD FOR THE ELASTICITY SPECTRAL PROBLEM ALLOWING FOR SMALL EDGES
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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