A parareal in time procedure for the control of partial differential equations
Maday, Yvon ; Turinici, Gabriel
HAL, hal-00798362 / Harvested from HAL
Text on HAL
We have proposed in a previous note a time discretization for partial differential evolution equation that allows for parallel implementations. This scheme is here reinterpreted as a preconditioning procedure on an algebraic setting of the time discretization. This allows for extending the parallel methodology to the problem of optimal control for partial differential equations. We report a first numerical implementation that reveals a large interest.
Publié le : 2002-07-05
Classification:  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00798362,
     author = {Maday, Yvon and Turinici, Gabriel},
     title = {A parareal in time procedure for the control of partial differential equations},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00798362}
}

Maday, Yvon; Turinici, Gabriel. A parareal in time procedure for the control of partial differential equations. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00798362/