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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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Some features of solving a coefficient inverse problem for a singularly perturbed reaction-diffusion-advection equationтезисы доклада
- Автор: Dmitry Lukyanenko
- Сборник: The Abstracts of the British-Russian workshop "Uncertainty Quantification in Inverse Modelling"
- Тезисы
- Год издания: 2016
- Место издания: Institute of Computational Mathematics and Mathematical Geophysics Novosibirsk, Russia
- Первая страница: 11
- Последняя страница: 11
- Аннотация: The question of using asymptotic methods for solving coefficient inverse problems for singularly perturbed parabolic equations are considered on an example of reaction-diffusion-advection equation. The asymptotic analysis shows that it is possible to extract a priori information about both the moving fronts (interior layers) which appear in solving forward problems and boundary layers which appear in solving conjugate problems. We describe and implement methods which are able to generate a dynamic adaptive mesh in compliance with this a priori information for the numerical solution of such problems that significantly reduce the complexity of the numerical calculations and improve the numerical stability compared with classical approaches. An example is presented to demonstrate the effectiveness of the proposed method.
- Добавил в систему: Лукьяненко Дмитрий Витальевич