Программный Комплекс Для Решения Задач Теории Потенциала Методом Граничных Элементов

Федотов, Владимир Петрович; Спевак, Лев Фридрихович; Спевак, Л. Ф.; Нефедова, О. А.

doi:10.15827/0236-235x.108.178-182

Cited by 3 publications

(1 citation statement)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…В основе алгоритма лежит методика применения метода граничных элементов (МГЭ) [18], основанная на точном вычислении интегралов по граничным элементам с помощью полу-ченных авторами аналитических формул и параллельных вычислений на каждом этапе ре-шения. Разработанный подход и созданные на его основе программы показали свою эффек-тивность для решения классических задач математической физики [19,20], а также одномер-ных задач рассматриваемого в настоящей работе типа [21][22][23].…”

Section: Introductionunclassified

Parallelizing the solution of the nonlinear heat conduction problem with the application of the OpenCL library

Спевак¹,

Нефедова²

2016

DREAM

View full text Add to dashboard Cite

The paper deals with the application of parallel computation methods to the numerical solution of the nonlinear boundary value problem for the degenerate two-dimensional differential heat conduction equation. The nonlinearity of the problem stems from the power dependence of the thermal conductivity coefficient on temperature. The solution algorithm is based on the boundary element method with the application of the dual reciprocity method enabling all the computations to be brought to the boundary of the problem solution domain. A program has been developed from the presented computational algorithm. To accelerate the computation as much as possible, we use parallel programming processes and graphics processors. The program is written in the С++ programming language with the use of the OpenMP and OpenCL open standards. An example is considered to illustrate the work of the algorithm and the program; the calculation accuracy and the calculation speed are analyzed. Keywords: parallel computation, OpenMP, OpenCL, nonlinear heat conduction problem, boundary element method, analytical integration, radial basis functions.DOI: 10.17804/2410-9908.2016.6.080-091 References 1.Aguilar-Leal O., Fuentes-Aguilar R.Q., Chairez I., Garcia-Gonzalez A., Huegel J.C. Distributed parameter system identification using finite element differential neural networks. Applied Soft Computing, 2016, vol. 43, pp. 633-642. DOI: 10.1016/j.asoc.2016 Petaccia G., Leporati F., Torti E. OpenMP and CUDA simulations of Sella Zerbino Dam break on unstructured grids. Computational Geosciences, 2016, vol. 20, no. 10, pp. 1123-1132. DOI: 10.1007. Sundarapandian M., Kalpathi R., Siochi R.A.C., Kadam A.S. Lung diaphragm tracking in CBCT images using spatio-temporal MRF.

show abstract