Publicación: A POSTERIORI ERROR ANALYSIS OF AN AUGMENTED MIXED-PRIMAL FORMULATION FOR THE STATIONARY BOUSSINESQ MODEL
| dc.creator | ELIGIO ANTONIO COLMENARES GARCÍA | |
| dc.creator | RICARDO ELVIS OYARZÚA VARGAS | |
| dc.date | 2017 | |
| dc.date.accessioned | 2025-01-10T14:54:51Z | |
| dc.date.available | 2025-01-10T14:54:51Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | IN AN EARLIER WORK OF US, A NEW MIXED FINITE ELEMENT SCHEME WAS DEVELOPED FOR THE BOUSSINESQ MODEL DESCRIBING NATURAL CONVECTION. OUR METHODOLOGY CONSISTED OF A FIXED-POINT STRATEGY FOR THE VARIATIONAL PROBLEM THAT RESULTED AFTER INTRODUCING A MODIFIED PSEUDOSTRESS TENSOR AND THE NORMAL COMPONENT OF THE TEMPERATURE GRADIENT AS AUXILIARY UNKNOWNS IN THE CORRESPONDING NAVIER-STOKES AND ADVECTION-DIFFUSION EQUATIONS DEFINING THE MODEL, RESPECTIVELY, ALONG WITH THE INCORPORATION OF PARAMETERIZED REDUNDANT GALERKIN TERMS. THE WELL-POSEDNESS OF BOTH THE CONTINUOUS AND DISCRETE SETTINGS, THE CONVERGENCE OF THE ASSOCIATED GALERKIN SCHEME, AS WELL AS A PRIORI ERROR ESTIMATES OF OPTIMAL ORDER WERE STATED THERE. IN THIS WORK WE COMPLEMENT THE NUMERICAL ANALYSIS OF OUR AFOREMENTIONED AUGMENTED MIXED-PRIMAL METHOD BY CARRYING OUT A CORRESPONDING A POSTERIORI ERROR ESTIMATION IN TWO AND THREE DIMENSIONS. STANDARD ARGUMENTS RELYING ON DUALITY TECHNIQUES, AND SUITABLE HELMHOLTZ DECOMPOSITIONS ARE USED TO DERIVE A GLOBAL ERROR INDICATOR AND TO SHOW ITS RELIABILITY. A GLOBALLY EFFICIENCY PROPERTY WITH RESPECT TO THE NATURAL NORM IS FURTHER PROVED VIA USUAL LOCALIZATION TECHNIQUES OF BUBBLE FUNCTIONS. FINALLY, AN ADAPTIVE ALGORITHM BASED ON A RELIABLE, FULLY LOCAL AND COMPUTABLE A POSTERIORI ERROR ESTIMATOR INDUCED BY THE AFOREMENTIONED ONE IS PROPOSED, AND ITS PERFORMANCE AND EFFECTIVENESS ARE ILLUSTRATED THROUGH A FEW NUMERICAL EXAMPLES IN TWO DIMENSIONS. | |
| dc.format | application/pdf | |
| dc.identifier.issn | 1126-5434 | |
| dc.identifier.issn | 0008-0624 | |
| dc.identifier.uri | https://repositorio.ubiobio.cl/handle/123456789/9529 | |
| dc.language | spa | |
| dc.publisher | CALCOLO | |
| dc.rights | PUBLICADA | |
| dc.title | A POSTERIORI ERROR ANALYSIS OF AN AUGMENTED MIXED-PRIMAL FORMULATION FOR THE STATIONARY BOUSSINESQ MODEL | |
| dc.type | ARTÍCULO | |
| dspace.entity.type | Publication | |
| ubb.Estado | PUBLICADA | |
| ubb.Otra Reparticion | DEPARTAMENTO DE CIENCIAS BASICAS | |
| ubb.Otra Reparticion | DEPARTAMENTO DE MATEMATICA | |
| ubb.Sede | CHILLÁN | |
| ubb.Sede | CONCEPCIÓN |
