Some properties of Hermite finite elements on rectangles

2014 ◽  
Author(s):  
V. Shaidurov ◽  
S. Shut ◽  
L. Gileva
Keyword(s):  
Finite Elements ◽  
Hermite Finite Elements

Hermite finite elements for diffusion phenomena

2013 ◽  
Vol 235 ◽  
pp. 542-564 ◽  
Author(s):  
Vitoriano Ruas ◽  
Diego Brandão ◽  
Mauricio Kischinhevsky
Keyword(s):  
Finite Elements ◽  
Diffusion Phenomena ◽  
Hermite Finite Elements

Hermite finite elements for high accuracy electromagnetic field calculations: A case study of homogeneous and inhomogeneous waveguides

2016 ◽  
Vol 119 (14) ◽  
pp. 143106 ◽  
Author(s):  
C. R. Boucher ◽  
Zehao Li ◽  
C. I. Ahheng ◽  
J. D. Albrecht ◽  
L. R. Ram-Mohan
Keyword(s):  
Electromagnetic Field ◽  
Finite Elements ◽  
High Accuracy ◽  
Hermite Finite Elements

A family of triangular Hermite finite elements complementing the Bogner–Fox–Schmit rectangle

2015 ◽  
Vol 30 (2) ◽  
Author(s):  
Lidia Gileva ◽  
Vladimir Shaidurov ◽  
Boris Dobronets
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Approximate Solution ◽  
Finite Elements ◽  
Polygonal Domain ◽  
The Finite Element Method ◽  
New Family ◽  
Rectangular Element ◽  
Hermite Finite Elements ◽  
Element Method

AbstractThe 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 whose sides are parallel to two different straight lines.We propose a new family of triangular Hermite elements that involves straight-sided elements and elements with a curved side. Such an element can be used in combination with the Bogner-Fox-Schmit element near the boundary of an arbitrary polygonal domain or a domain with a curved part of the boundary and provides continuous differentiability of an approximate solution in thewhole domain up to the boundary.

New Hermite finite elements on rectangles

2016 ◽  
Author(s):  
L. Gileva ◽  
E. Karepova ◽  
V. Shaydurov
Keyword(s):  
Finite Elements ◽  
Hermite Finite Elements
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