Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2013

Ключевые слова: Continuously differentiable finite elements, Bogner-Fox-Schmit rectangle, triangular Hermite element

Аннотация: The Bogner-Fox-Schmit rectangular element is one of the simplest elements that provide continuous differentiability of an approximate solution in the framework of the finite element method. However, it can be applied only on a simple domain composed of rectangles or parallelograms whose sides are parallel to two different straight lines. We propose a new triangular Hermite element with 13 degrees of freedom. It is used in combination with the Bogner-Fox-Schmit element near the boundary of an arbitrary polygonal domain and provides continuous differentiability of an approximate solution in the whole domain up to the boundary.

Журнал: Applied Matematics

Выпуск журнала: Т. 4, № 12A

Номера страниц: 50-56

ISSN журнала: 21527385

• Gileva L.
• Shaidurov V. (Siberian Federal University)
• Dobronets B. (Siberian Federal University)

• РИНЦ (eLIBRARY.RU)