Object
Title: Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation
Contributor:
Sokołowski, Jan - ed. ; Sonnendrücker, Eric - ed.
Subtitle:
Group publication title:
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.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 17, number 3 (2007) ; click here to follow the link
Language:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2007)
Last modified:
Apr 3, 2024
In our library since:
Apr 3, 2024
Number of object content hits:
52
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/88413
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International Journal of Applied Mathematics and Computer Science (AMCS)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 1 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 2 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 3 (2007)
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- Genuinely multi-dimensional non-dissipative finite-volume schemes for transport
- A Hermite-type adaptive semi-Lagrangian scheme
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- A direct and accurate adaptive semi-Lagrangian scheme for the Vlasov-Poisson equation
- Numerical approximation of self-consistent Vlasov models for low-frequency electromagnetic phenomena
- Arbitrary high-order finite element schemes and high-order mass lumping
- Analysis of patch substructuring methods
- On the numerical approximation of first-order Hamilton-Jacobi equations
- A level set method in shape and topology optimization for variational inequalities
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 4 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17, number 1 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
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International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Edition name | Date |
|---|---|
| Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation | Apr 3, 2024 |
