Algorithm for Processing the Results of Calculations for Determining the Body of Optimal Parameters in the Weighted Finite Element Method

Весовой метод конечных элементов позволяет найти приближенное решение краевой задачи с сингулярностью в 10^{6} быстрее классического метода конечных элементов при заданной погрешности равной 10^{-3}. При этом требуется применять необходимые управляющие параметры в весовом методе конечных элементов. Тело оптимальных параметров определяется на основе проведения и анализа серии численных экспериментов. В представленной статье предложен алгоритм для обработки результатов вычисления и определения тела оптимальных параметров для задачи Дирихле и системы Ламе в области с одним входящим углом на границе, принимающим значения от pi до 2pi.

Ключевые слова

угловая сингулярность; весовой метод конечных элементов; тело оптимальных параметров.

Литература

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