maisМоделирование и анализ информационных системModeling and Analysis of Information Systems1818-10152313-5417Yaroslavl State University10.18255/1818-1015-2016-3-364-369mais-351Research ArticleОригинальные статьиArticlesРобастная оценка погрешности в сингулярно возмущённых задачах четвертого порядкаRobust Error Estimation for Singularly Perturbed Fourth Order ProblemsФранцС.FranzS.sebastian.franz@tu-dresden.deХ.-Г.Р.H.-G.R.hans-goerg.roos@tu-dresden.deИнститут вычислительной математики, Технический Университет Дрездена, 01062 Дрезден, ГерманияРоссияInstitut fuЁr Numerische Mathematik, Technische UniversitaЁt Dresden, 01062 Dresden, DeutschlandRussian Federation201620062016233364369Copyright © Франц С., Х.-Г. Р., 20162016Франц С., Х.-Г. Р.Franz S., H.-G. R.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.mais-journal.ru/jour/article/view/351

Рассматриваются двумерные сингулярно возмущённые задачи четвертого порядка и оцениваются должным образом построенные адаптированные к слою погрешности смешанного метода в соответствующих энергетических нормах и сбалансированных нормах. Данная работа является сокращенной версией [4].

We consider two-dimensional singularly perturbed fourth order problems and estimate on properly constructed layer-adapted errors of a mixed method in the associated energy norms and balanced norms. This paper is a shortened version of [4].

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The authors declare that there are no conflicts of interest present.