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A POSTERIORI ERROR ANALYSIS OF A SEMI-AUGMENTED FINITE ELEMENT METHOD FOR DOUBLE-DIFFUSIVE NATURAL CONVECTION IN POROUS MEDIA

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dc.creatorELIGIO ANTONIO COLMENARES GARCÍA
dc.date2024
dc.date.accessioned2025-01-10T15:49:40Z
dc.date.available2025-01-10T15:49:40Z
dc.date.issued2024
dc.description.abstractTHIS PAPER PRESENTS OUR CONTRIBUTION TO THE A POSTERIORI ERROR ANALYSIS IN 2D AND 3D OF A SEMI-AUGMENTED MIXED-PRIMAL FINITE ELEMENT METHOD PREVIOUSLY DEVELOPED BY US TO NUMERICALLY SOLVE DOUBLE-DIFFUSIVE NATURAL CONVECTION PROBLEM IN POROUS MEDIA. THE MODEL COMBINES BRINKMAN-NAVIER-STOKES EQUATIONS FOR VELOCITY AND PRESSURE COUPLED TO A VECTOR ADVECTION-DIFFUSION EQUATION, REPRESENTING HEAT AND CONCENTRATION OF A CERTAIN SUBSTANCE IN A VISCOUS FLUID WITHIN A POROUS MEDIUM. STRAIN AND PSEUDO-STRESS TENSORS WERE INTRODUCED TO ESTABLISH SCHEME SOLVABILITY AND PROVIDE A PRIORI ERROR ESTIMATES USING RAVIART-THOMAS ELEMENTS, PIECEWISE POLYNOMIALS AND LAGRANGE FINITE ELEMENTS. IN THIS WORK, WE DERIVE TWO RELIABLE RESIDUAL-BASED A POSTERIORI ERROR ESTIMATORS. THE FIRST ESTIMATOR LEVERAGES ELLIPTICITY PROPERTIES, HELMHOLTZ DECOMPOSITION AS WELL AS CLÉMENT INTERPOLANT AND RAVIART-THOMAS OPERATOR PROPERTIES FOR SHOWING RELIABILITY; EFFICIENCY IS GUARANTEED BY INVERSE INEQUALITIES AND LOCALIZATION STRATEGIES. AN ALTERNATIVE ESTIMATOR IS ALSO DERIVED AND ANALYZED FOR RELIABILITY WITHOUT HELMHOLTZ DECOMPOSITION. NUMERICAL TESTS ARE PRESENTED TO CONFIRM ESTIMATOR PROPERTIES AND DEMONSTRATE ADAPTIVE SCHEME PERFORMANCE.
dc.formatapplication/pdf
dc.identifier.doi10.1002/num.23090
dc.identifier.issn1098-2426
dc.identifier.issn0749-159X
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13837
dc.languagespa
dc.publisherNUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
dc.relation.uri10.1002/num.23090
dc.rightsPUBLICADA
dc.subjectA POSTERIORI ERROR
dc.subject3D
dc.subject2D
dc.titleA POSTERIORI ERROR ANALYSIS OF A SEMI-AUGMENTED FINITE ELEMENT METHOD FOR DOUBLE-DIFFUSIVE NATURAL CONVECTION IN POROUS MEDIA
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCHILLÁN
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