# Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation

Nicolas Crouseilles; Guillaume Latu; Eric Sonnendrücker

International Journal of Applied Mathematics and Computer Science (2007)

- Volume: 17, Issue: 3, page 335-349
- ISSN: 1641-876X

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topCrouseilles, Nicolas, Latu, Guillaume, and Sonnendrücker, Eric. "Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation." International Journal of Applied Mathematics and Computer Science 17.3 (2007): 335-349. <http://eudml.org/doc/207841>.

@article{Crouseilles2007,

abstract = {This work is devoted to the numerical simulation of the Vlasov equation using a phase space grid. In contrast to Particle-In-Cell (PIC) methods, which are known to be noisy, we propose a semi-Lagrangian-type method to discretize the Vlasov equation in the two-dimensional phase space. As this kind of method requires a huge computational effort, one has to carry out the simulations on parallel machines. For this purpose, we present a method using patches decomposing the phase domain, each patch being devoted to a processor. Some Hermite boundary conditions allow for the reconstruction of a good approximation of the global solution. Several numerical results demonstrate the accuracy and the good scalability of the method with up to 64 processors. This work is a part of the CALVI project.},

author = {Crouseilles, Nicolas, Latu, Guillaume, Sonnendrücker, Eric},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {parallelism; semi-Lagrangian method; Vlasov-Poisson equation; Vlasov equation},

language = {eng},

number = {3},

pages = {335-349},

title = {Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation},

url = {http://eudml.org/doc/207841},

volume = {17},

year = {2007},

}

TY - JOUR

AU - Crouseilles, Nicolas

AU - Latu, Guillaume

AU - Sonnendrücker, Eric

TI - Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation

JO - International Journal of Applied Mathematics and Computer Science

PY - 2007

VL - 17

IS - 3

SP - 335

EP - 349

AB - This work is devoted to the numerical simulation of the Vlasov equation using a phase space grid. In contrast to Particle-In-Cell (PIC) methods, which are known to be noisy, we propose a semi-Lagrangian-type method to discretize the Vlasov equation in the two-dimensional phase space. As this kind of method requires a huge computational effort, one has to carry out the simulations on parallel machines. For this purpose, we present a method using patches decomposing the phase domain, each patch being devoted to a processor. Some Hermite boundary conditions allow for the reconstruction of a good approximation of the global solution. Several numerical results demonstrate the accuracy and the good scalability of the method with up to 64 processors. This work is a part of the CALVI project.

LA - eng

KW - parallelism; semi-Lagrangian method; Vlasov-Poisson equation; Vlasov equation

UR - http://eudml.org/doc/207841

ER -

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