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ROBUST A POSTERIORI ERROR ANALYSIS FOR ROTATION-BASED FORMULATIONS OF THE ELASTICITY/POROELASTICITY COUPLING

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dc.creatorVERÓNICA JULIA ANAYA DOMÍNGUEZ
dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2022
dc.date.accessioned2025-01-10T15:33:14Z
dc.date.available2025-01-10T15:33:14Z
dc.date.issued2022
dc.description.abstractWE DEVELOP THE A POSTERIORI ERROR ANALYSIS OF THREE MIXED FINITE ELEMENT FORMULATIONS FOR ROTATION-BASED EQUATIONS IN ELASTICITY, POROELASTICITY, AND INTERFACIAL ELASTICITY-POROELASTICITY. THE DISCRETIZATIONS USE H1-CONFORMING FINITE ELEMENTS OF DEGREE K + 1 FOR DISPLACEMENT AND FLUID PRESSURE, AND DISCONTINUOUS PIECEWISE POLYNOMIALS OF DEGREE K FOR ROTATION VECTOR, TOTAL PRESSURE, AND ELASTIC PRESSURE. RESIDUAL-BASED ESTIMATORS ARE CONSTRUCTED, AND UPPER AND LOWER BOUNDS (UP TO DATA OSCILLATIONS) FOR ALL GLOBAL ESTIMATORS ARE RIGOROUSLY DERIVED. THE METHODS ARE ALL ROBUST WITH RESPECT TO THE MODEL PARAMETERS (IN PARTICULAR, THE LAM\'E CONSTANTS); THEY ARE VALID IN 2D AND 3D, AND ALSO FOR ARBITRARY POLYNOMIAL DEGREE K \GEQ 0. THE ERROR BEHAVIOR PREDICTED BY THE THEORETICAL ANALYSIS IS THEN DEMONSTRATED NUMERICALLY ON A SET OF COMPUTATIONAL EXAMPLES INCLUDING DIFFERENT GEOMETRIES ON WHICH WE PERFORM ADAPTIVE MESH REFINEMENT GUIDED BY THE A POSTERIORI ERROR ESTIMATORS.
dc.formatapplication/pdf
dc.identifier.issn1095-7197
dc.identifier.issn1064-8275
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/12559
dc.languagespa
dc.publisherSIAM JOURNAL ON SCIENTIFIC COMPUTING
dc.rightsPUBLICADA
dc.subjectROTATION-BASED FORMULATIONS
dc.subjectMIXED FINITE ELEMENT METHOD
dc.subjectLINEAR POROELASTICITY
dc.subjectINTERFACE PROBLEMS
dc.subjectA PRIORI AND A POSTERIORI ERROR ESTIMATION
dc.titleROBUST A POSTERIORI ERROR ANALYSIS FOR ROTATION-BASED FORMULATIONS OF THE ELASTICITY/POROELASTICITY COUPLING
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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