Publicación: ROBUST FINITE ELEMENT METHODS AND SOLVERS FOR THE BIOT-BRINKMAN EQUATIONS IN VORTICITY FORM
| dc.creator | RUBEN ANTONIO CARABALLO DIAZ | |
| dc.date | 2023 | |
| dc.date.accessioned | 2025-01-10T15:46:05Z | |
| dc.date.available | 2025-01-10T15:46:05Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | IN THIS ARTICLE, WE PROPOSE A NEW FORMULATION AND A SUITABLE FINITE ELEMENT METHOD FOR THE STEADY COUPLING OF VISCOUS FLOW IN DEFORMABLE POROUS MEDIA USING DIVERGENCE-CONFORMING FILTRATION FLUXES. THE PROPOSED METHOD IS BASED ON THE USE OF PARAMETER-WEIGHTED SPACES, WHICH ALLOWS FOR A MORE ACCURATE AND ROBUST ANALYSIS OF THE CONTINUOUS AND DISCRETE PROBLEMS. FURTHERMORE, WE CONDUCT A SOLVABILITY ANALYSIS OF THE PROPOSED METHOD AND DERIVE OPTIMAL ERROR ESTIMATES IN APPROPRIATE NORMS. THESE ERROR ESTIMATES ARE SHOWN TO BE ROBUST IN A VARIETY OF REGIMES, INCLUDING THE CASE OF LARGE LAME PARAMETERS AND SMALL PERMEABILITY AND STORATIVITY COEFFICIENTS. TO ILLUSTRATE THE EFFECTIVENESS OF THE PROPOSED METHOD, WE PROVIDE A FEW REPRESENTATIVE NUMERICAL EXAMPLES, INCLUDING CONVERGENCE VERIFICATION AND TESTING OF ROBUSTNESS OF BLOCK-DIAGONAL PRECONDITIONERS WITH RESPECT TO MODEL PARAMETERS. | |
| dc.format | application/pdf | |
| dc.identifier.doi | 10.1002/num.23083 | |
| dc.identifier.issn | 1098-2426 | |
| dc.identifier.issn | 0749-159X | |
| dc.identifier.uri | https://repositorio.ubiobio.cl/handle/123456789/13565 | |
| dc.language | spa | |
| dc.publisher | NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | |
| dc.relation.uri | 10.1002/num.23083 | |
| dc.rights | PUBLICADA | |
| dc.title | ROBUST FINITE ELEMENT METHODS AND SOLVERS FOR THE BIOT-BRINKMAN EQUATIONS IN VORTICITY FORM | |
| dc.type | ARTÍCULO | |
| dspace.entity.type | Publication | |
| ubb.Estado | PUBLICADA | |
| ubb.Otra Reparticion | DEPARTAMENTO DE MATEMATICA | |
| ubb.Sede | CONCEPCIÓN |
