Discrete maximum principles for nonlinear parabolic PDE systems

Discrete maximum principles (DMPs) are established for finite element approximations of systems of nonlinear parabolic partial differential equations with mixed boundary and interface conditions. The results are based on an algebraic DMP for suitable systems of ordinary differential equations.

Detalles Bibliográficos
Autores: Faragó, I., Karátson, J., Korotov, S.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/615
Acceso en línea:http://hdl.handle.net/20.500.11824/615
Access Level:acceso abierto
Palabra clave:discrete maximum principle
finite element method
nonlinear parabolic system
Descripción
Sumario:Discrete maximum principles (DMPs) are established for finite element approximations of systems of nonlinear parabolic partial differential equations with mixed boundary and interface conditions. The results are based on an algebraic DMP for suitable systems of ordinary differential equations.