Publicación: A HIGH ORDER MIXED-FEM FOR DIFFUSION PROBLEMS ON CURVER DOMAINS
| dc.creator | RICARDO ELVIS OYARZÚA VARGAS | |
| dc.date | 2019 | |
| dc.date.accessioned | 2025-01-10T15:10:58Z | |
| dc.date.available | 2025-01-10T15:10:58Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | WE PROPOSE AND ANALYZE A HIGH ORDER MIXED FINITE ELEMENT METHOD FOR DIFFUSION PROBLEMS WITH DIRICHLET BOUNDARY CONDITION ON A DOMAIN OMEGA WITH CURVED BOUNDARY GAMMA. THE METHOD IS BASED ON APPROXIMATING OMEGA BY A POLYGONAL SUBDOMAIN D-H, WITH BOUNDARY GAMMA(H), WHERE A HIGH ORDER CONFORMING GALERKIN METHOD IS CONSIDERED TO COMPUTE THE SOLUTION. TO APPROXIMATE THE DIRICHLET DATA ON THE COMPUTATIONAL BOUNDARY GAMMA(H), WE EMPLOY A TRANSFERRING TECHNIQUE BASED ON INTEGRATING THE EXTRAPOLATED DISCRETE GRADIENT ALONG SEGMENTS JOINING GAMMA(H) AND GAMMA. CONSIDERING GENERAL FINITE DIMENSIONAL SUBSPACES WE PROVE THAT THE RESULTING GALERKIN SCHEME, WHICH IS H(DIV; D-H)-CONFORMING, IS WELL-POSED PROVIDED SUITABLE HYPOTHESES ON THE AFOREMENTIONED SUBSPACES AND INTEGRATION SEGMENTS. A FEASIBLE CHOICE OF DISCRETE SPACES IS GIVEN BY RAVIART-THOMAS ELEMENTS OF ORDER K >= 0 FOR THE VECTORIAL VARIABLE AND DISCONTINUOUS POLYNOMIALS OF DEGREE K FOR THE SCALAR VARIABLE, YIELDING OPTIMAL CONVERGENCE IF THE DISTANCE BETWEEN GAMMA(H) AND GAMMA IS AT MOST OF THE ORDER OF THE MESHSIZE H. WE ALSO APPROXIMATE THE SOLUTION IN D-H(C) := OMEGA\(D-H) OVER BAR AND DERIVE THE CORRESPONDING ERROR ESTIMATES. NUMERICAL EXPERIMENTS ILLUSTRATE THE PERFORMANCE OF THE SCHEME AND VALIDATE THE THEORY. | |
| dc.format | application/pdf | |
| dc.identifier.doi | 10.1007/s10915-018-0840-5 | |
| dc.identifier.issn | 1573-7691 | |
| dc.identifier.issn | 0885-7474 | |
| dc.identifier.uri | https://repositorio.ubiobio.cl/handle/123456789/10811 | |
| dc.language | spa | |
| dc.publisher | JOURNAL OF SCIENTIFIC COMPUTING | |
| dc.relation.uri | 10.1007/s10915-018-0840-5 | |
| dc.rights | PUBLICADA | |
| dc.title | A HIGH ORDER MIXED-FEM FOR DIFFUSION PROBLEMS ON CURVER DOMAINS | |
| dc.title.alternative | UN FEM MIXTO DE ALTO ORDEN PARA PROBLEMAS DE DIFUSIÓN EN DOMINIOS CURVOS | |
| dc.type | ARTÍCULO | |
| dspace.entity.type | Publication | |
| ubb.Estado | PUBLICADA | |
| ubb.Otra Reparticion | DEPARTAMENTO DE MATEMATICA | |
| ubb.Sede | CONCEPCIÓN |
