Some applications of semi-discrete variational integrators to classical field theories

We develop a semi-discrete version of discrete variational mechanics with applications to numerical integration of classical field theories. The geometric preservation properties are studied.

Detalles Bibliográficos
Autores: León, Manuel de, Marrero, Juan Carlos, Martin de Diego, David
Tipo de recurso: artículo
Fecha de publicación:2006
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/2277
Acceso en línea:http://hdl.handle.net/10261/2277
Access Level:acceso abierto
Palabra clave:Discrete mechanics
Classical field theories
Nonlinear wave equation
Lagrangian Mechanics
Hamiltonian Mechanics
Descripción
Sumario:We develop a semi-discrete version of discrete variational mechanics with applications to numerical integration of classical field theories. The geometric preservation properties are studied.