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Dynamic adaptive mesh construction for efficient numerical solving of a singularly perturbed reaction-diffusion-advection equationsтезисы доклада
- Авторы: Lukyanenko D., Volkov V., Nefedov N.
- Сборник: Abstract of Sixth Conference on Numerical Analysis and Applications (NAA'16). Lozenetz, Bulgaria. June 15-22, 2016
- Тезисы
- Год издания: 2016
- Место издания: University of Rousse Rousse, Bulgaria
- Первая страница: 15
- Последняя страница: 15
- Аннотация: We propose some new efficient approach for asymptotic-numerical investigation of moving fronts in reaction-diffusion-advection models. On the example of numerical solution of the Burgers's equation with a small parameter at higher derivative we discuss a method of dynamic adaptive meshes construction. For corresponding construction we use a priori information based on asymptotic analysis of the problem. In particular, we take into account some information about the speed of the transition layer, its width and structure. Our algorithms are able to significantly reduce the complexity of the numerical calculations in comparison with classical approaches for solving of this class problems. This work is partially supported by RFBR, projects No. 16-01-00755, 16-01-00437, 14-01-00182 and 14-01-91151. 1. Vladimir Volkov, Nikolay Nefedov, Eugene Antipov. Asymptotic-numerical method for moving fronts in two-dimensional R-D-A problems // Lecture Notes in Computer Science, Finite Difference Methods, Theory and Applications, Springer-Verlag Berlin, v.~9045, p.~408--416. 2. V.T. Volkov, N.N. Nefedov. Asymptotic-numerical investigation of generation and motion of fronts in phase transition models // Lecture Notes in Computer Science, Springer Berlin, 2013, v.~8236, p.~524--531.
- Добавил в систему: Лукьяненко Дмитрий Витальевич