Mesh-centered finite differences from unconventional mixed-hybrid nodal finite elements

It is shown how mesh-centered finite differences can be obtained from unconventional mixed-hybrid nodal finite elements. The classical Raviart-Thomas schemes of index k (RTk) are based on interpolation parameters that are cell and/or edge moments. For the unconventional form (URTk), they become poin...

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Detalles Bibliográficos
Autores: Flores, BE, Hennart, JP, del Valle, E
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2006
País:México
Institución:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/3187
Acceso en línea:http://hdl.handle.net/11154/3187
Access Level:acceso abierto
Palabra clave:Mathematics, Applied
Raviart-Thomas schemes
mixed hybrid nodal finite elements
Descripción
Sumario:It is shown how mesh-centered finite differences can be obtained from unconventional mixed-hybrid nodal finite elements. The classical Raviart-Thomas schemes of index k (RTk) are based on interpolation parameters that are cell and/or edge moments. For the unconventional form (URTk), they become point values at Gaussian points. In particular, the scheme URT1 is fully described. (C) 2006 Wiley Periodicals, Inc.