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MIXED DISPLACEMENT-ROTATION-PRESSURE FORMULATIONS FOR LINEAR ELASTICITY

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dc.creatorVERÓNICA JULIA ANAYA DOMÍNGUEZ
dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2019
dc.date.accessioned2025-01-10T15:08:44Z
dc.date.available2025-01-10T15:08:44Z
dc.date.issued2019
dc.description.abstractWE PROPOSE A NEW LOCKING-FREE FAMILY OF MIXED FINITE ELEMENT AND FINITE VOLUME ELEMENT METHODS FOR THE APPROXIMATION OF LINEAR ELASTOSTATICS, FORMULATED IN TERMS OF DISPLACEMENT, ROTATION VECTOR, AND PRESSURE. THE UNIQUE SOLVABILITY OF THE THREE-FIELD CONTINUOUS FORMULATION, AS WELL AS THE WELL-DEFINITENESS AND STABILITY OF THE PROPOSED GALERKIN AND PETROV?GALERKIN METHODS, IS ESTABLISHED THANKS TO THE BABU?KA?BREZZI THEORY. OPTIMAL A PRIORI ERROR ESTIMATES ARE DERIVED USING NORMS ROBUST WITH RESPECT TO THE LAMÉ CONSTANTS, TURNING THESE NUMERICAL METHODS PARTICULARLY APPEALING FOR NEARLY INCOMPRESSIBLE MATERIALS. WE EXEMPLIFY THE ACCURACY (IN A SUITABLY WEIGHTED NORM), AS WELL THE APPLICABILITY OF THE NEW FORMULATION AND THE MIXED SCHEMES BY CONDUCTING A NUMBER OF COMPUTATIONAL TESTS IN 2D AND 3D, ALSO INCLUDING CASES NOT COVERED BY OUR THEORETICAL ANALYSIS.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.cma.2018.09.029
dc.identifier.issn1879-2138
dc.identifier.issn0045-7825
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/10634
dc.languagespa
dc.publisherCOMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
dc.relation.uri10.1016/j.cma.2018.09.029
dc.rightsPUBLICADA
dc.titleMIXED DISPLACEMENT-ROTATION-PRESSURE FORMULATIONS FOR LINEAR ELASTICITY
dc.title.alternativeFORMULACIONES MIXTAS DE DESPLAZAMIENTO-ROTACIÓN-PRESIÓN PARA ELASTICIDAD LINEAL
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
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