Publicación: THE MORLEY-TYPE VIRTUAL ELEMENT METHOD FOR THE NAVIER-STOKES EQUATIONS IN STREAM-FUNCTION FORM
| dc.creator | ALBERTH ANTONIO SILGADO BALLESTA | |
| dc.creator | DAVID ANDRÉS MORA HERRERA | |
| dc.date | 2023 | |
| dc.date.accessioned | 2025-01-10T15:46:13Z | |
| dc.date.available | 2025-01-10T15:46:13Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | THE NONCONFORMING MORLEY-TYPE VIRTUAL ELEMENT METHOD FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS FORMULATED IN TERMS OF THE STREAM-FUNCTION ON SIMPLY CONNECTED POLYGONAL DOMAINS (NOT NECESSARILY CONVEX) IS DESIGNED. A RIGOROUS ANALYSIS BY USING A NEW ENRICHING OPERATOR IS DEVELOPED. MORE PRECISELY, BY EMPLOYING SUCH OPERATOR, WE PROVIDE NOVEL DISCRETE SOBOLEV EMBEDDINGS, WHICH ALLOW TO ESTABLISH THE WELL-POSEDNESS OF THE DISCRETE SCHEME AND OBTAIN OPTIMAL ERROR ESTIMATES IN BROKEN H2-, H1- AND 0-NORMS UNDER MINIMAL REGULARITY CONDITION ON THE WEAK SOLUTION. THE VELOCITY AND VORTICITY FIELDS ARE RECOVERED VIA A POSTPROCESSING FORMULAS. FURTHERMORE, A NEW ALGORITHM FOR PRESSURE RECOVERY BASED ON A STOKES COMPLEX SEQUENCE IS PRESENTED. OPTIMAL ERROR ESTIMATES ARE OBTAINED FOR ALL THE POSTPROCESSED VARIABLES. FINALLY, THE THEORETICAL ERROR BOUNDS AND THE GOOD PERFORMANCE OF THE METHOD ARE VALIDATED THROUGH SEVERAL BENCHMARK TESTS. | |
| dc.format | application/pdf | |
| dc.identifier.doi | 10.1016/j.cma.2023.116573 | |
| dc.identifier.issn | 1879-2138 | |
| dc.identifier.issn | 0045-7825 | |
| dc.identifier.uri | https://repositorio.ubiobio.cl/handle/123456789/13574 | |
| dc.language | spa | |
| dc.publisher | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | |
| dc.relation.uri | 10.1016/j.cma.2023.116573 | |
| dc.rights | PUBLICADA | |
| dc.subject | Velocity?vorticity?pressure recovery | |
| dc.subject | Stream-function form | |
| dc.subject | Stokes complex | |
| dc.subject | Optimal error estimates | |
| dc.subject | Nonconforming virtual elements | |
| dc.subject | Discrete Sobolev embeddings | |
| dc.title | THE MORLEY-TYPE VIRTUAL ELEMENT METHOD FOR THE NAVIER-STOKES EQUATIONS IN STREAM-FUNCTION FORM | |
| dc.type | ARTÍCULO | |
| dspace.entity.type | Publication | |
| ubb.Estado | PUBLICADA | |
| ubb.Otra Reparticion | DEPARTAMENTO DE MATEMATICA | |
| ubb.Otra Reparticion | DEPARTAMENTO DE MATEMATICA | |
| ubb.Sede | CONCEPCIÓN | |
| ubb.Sede | CONCEPCIÓN |
