| Title |
On Application of Monte Carlo Method for Poisson Problem Solving |
| Authors |
- L.V. Vladimirova, I.D. Rubtsova
St. Petersburg State University, St. Petersburg, Russia
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| Abstract |
The paper presents the application of random grid walk for Dirichlet problem solving for Poisson equation. Boundary value problem is discretized and reduced to the system of linear algebraic equations. The matrix of this system is used for stochastic matrix constructing. Thus, there is a possibility of Markov chains obtaining. The special random value is defined on Markov chain trajectories; this value is used for approximation of the desired solution. The advantages of this method are discussed in the paper. The algorithm is applied for electric potential calculation in the cell of support lattice of exit window in large-aperture electron accelerator.
|
| Paper |
download WEPSB007.PDF [0.483 MB / 4 pages] |
| Conference |
RuPAC2016, St. Petersburg, Russia |
| Series |
Russian Particle Accelerator Conference (25th) |
| Proceedings |
Link to full RuPAC2016 Proccedings |
| Session |
Poster Session B |
| Date |
23-Nov-16 16:50–18:30 |
| Main Classification |
Particle dynamics, new methods of acceleration and cooling |
| Keywords |
electron, controls, lattice, simulation, plasma |
| Publisher |
JACoW, Geneva, Switzerland |
| Editors |
Maxim Kuzin (BINP, Novosibirsk, Russia); Volker RW Schaa (GSI, Darmstadt, Germany) |
| ISBN |
978-3-95450-181-6 |
| Published |
February 2017 |
| Copyright |
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