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TY - CONF AU - Vladimirova, L.V. AU - Rubtsova, I.D. ED - Kuzin, Maxim ED - Schaa, Volker RW TI - On Application of Monte Carlo Method for Poisson Problem Solving J2 - Proc. of RuPAC2016, St. Petersburg, Russia, November 21-25, 2016 C1 - St. Petersburg, Russia T2 - Russian Particle Accelerator Conference T3 - 25 LA - english AB - 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. PB - JACoW CP - Geneva, Switzerland SP - 367 EP - 370 KW - electron KW - controls KW - lattice KW - simulation KW - plasma DA - 2017/02 PY - 2017 SN - 978-3-95450-181-6 DO - 10.18429/JACoW-RuPAC2016-WEPSB007 UR - http://jacow.org/rupac2016/papers/wepsb007.pdf ER -