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TY - CONF AU - Zaverukha, O.I. AU - Sidorov, M.V. ED - Kuzin, Maxim ED - Schaa, Volker RW TI - Use of Structural-Variational Method of R-functions in Mathematical Modeling of Magnetic Systems 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 - Magnetic systems are widespread in nature and technic. For example, they are the component of accelerator and spectrometer facilities, stabilization systems of artificial satellites etc. Nowadays the most often used methods for numerical analysis of magnetic systems are methods of finite differences, finite elements, boundary integral elements etc. The main disadvantage of these methods is the necessity to generate and adjust the computational grid for each unique area. The R-function method, proposed by Ukrainian academic of National academy of science V.L.Rvachev, can be an alternative to existing methods for magnetic systems calculation. This method allows to build so called "solution structures" - bundle of functions that exactly meets the boundary value problems. Method treats the geometry exactly as well. The use of R-function method to calculate magnetic field in spectrometric magnet SP-40 is observed. Solution structure that takes into account the geometry of the area occupied by magnetic system, meets all boundary conditions, including matched conditions on the "ferromagnetic-vacuum" edge is build for this problem. Approximation of the indefinite component of the solution structure is proposed to calculate using Galerkin method. PB - JACoW CP - Geneva, Switzerland SP - 538 EP - 540 KW - vacuum KW - experiment KW - induction DA - 2017/02 PY - 2017 SN - 978-3-95450-181-6 DO - 10.18429/JACoW-RuPAC2016-THPSC002 UR - http://jacow.org/rupac2016/papers/thpsc002.pdf ER -