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A POSTERIORI ERROR ESTIMATES FOR A VIRTUAL ELEMENT METHODS FOR THE STEKLOV EIGENVALUE PROBLEM

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dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2017
dc.date.accessioned2025-01-10T14:54:52Z
dc.date.available2025-01-10T14:54:52Z
dc.date.issued2017
dc.description.abstractTHE PAPER DEALS WITH THE A POSTERIORI ERROR ANALYSIS OF A VIRTUAL ELEMENT METHOD FOR THE STEKLOV EIGENVALUE PROBLEM. THE VIRTUAL ELEMENT METHOD HAS THE ADVANTAGE OF USING GENERAL POLYGONAL MESHES, WHICH ALLOWS IMPLEMENTING EFFICIENTLY MESH REFINEMENT STRATEGIES. WE INTRODUCE A RESIDUAL TYPE A POSTERIORI ERROR ESTIMATOR AND PROVE ITS RELIABILITY AND GLOBAL EFFICIENCY. LOCAL EFFICIENCY ESTIMATES ALSO HOLD, ALTHOUGH IN SOME ELEMENTS THEY INVOLVE BOUNDARY TERMS THAT ARE NOT KNOWN TO BE LOCALLY NEGLIGIBLE. WE USE THE CORRESPONDING ERROR ESTIMATOR TO DRIVE AN ADAPTIVE SCHEME. FINALLY, WE REPORT THE RESULTS OF A COUPLE OF NUMERICAL TESTS, THAT ALLOW US TO ASSESS THE PERFORMANCE OF THIS APPROACH.
dc.formatapplication/pdf
dc.identifier.doi/10.1016/j.camwa.2017.05.016
dc.identifier.issn1873-7668
dc.identifier.issn0898-1221
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/9530
dc.languagespa
dc.publisherCOMPUTERS & MATHEMATICS WITH APPLICATIONS
dc.relation.uri/10.1016/j.camwa.2017.05.016
dc.rightsPUBLICADA
dc.titleA POSTERIORI ERROR ESTIMATES FOR A VIRTUAL ELEMENT METHODS FOR THE STEKLOV EIGENVALUE PROBLEM
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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