Geodesic
The effectiveness of parallelizing an algorithm of the PFC equation solution using PetIGA library
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 26 (2016) no. 3, pp. 445-450

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The paper presents an algorithm for solving the equation of Phase Field Crystal (PFC) in a hyperbolic statement that allows to describe the phase transitions of metastable or unstable state at the nuclear density scale, described by a differential equation of the sixth order with respect to the space variable and the second order with respect to the time variable. The algorithm is based on the method of isogeometric analysis (IGA) and is implemented by PetIGA library. The resulting code allows parallel computations, which significantly speeds up the process of solving a problem. The effectiveness of used instruments during the calculations on high-performance computing clusters is evaluated. An analysis of the effectiveness of the current algorithm is carried out for heterogeneous computer systems.
Keywords: phase field crystal, high performance computation, isogeometric analysis. 
@article{VUU_2016_26_3_a11,
     author = {I. O. Starodumov and E. V. Pavlyuk and S. M. Abramov and L. V. Klyuev and P. K. Galenko and D. V. Alexandrov},
     title = {The effectiveness of parallelizing an algorithm of the {PFC} equation solution using {PetIGA} library},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {445--450},
     publisher = {mathdoc},
     volume = {26},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2016_26_3_a11/}
}
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I. O. Starodumov; E. V. Pavlyuk; S. M. Abramov; L. V. Klyuev; P. K. Galenko; D. V. Alexandrov. The effectiveness of parallelizing an algorithm of the PFC equation solution using PetIGA library. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 26 (2016) no. 3, pp. 445-450. http://geodesic.mathdoc.fr/item/VUU_2016_26_3_a11/