On the two dimension applications of high-order vector finite elements to the study of electromagnetic resonance

2007 ◽  
Vol 1 (2) ◽  
pp. 306 ◽  
Author(s):  
J.M. Gil ◽  
J.P. Webb
Keyword(s):  
Finite Elements ◽  
High Order ◽  
Two Dimension ◽  
Electromagnetic Resonance ◽  
Vector Finite Elements

scholarly journals A non-overlapping Schwarz domain decomposition method with high-order finite elements for flow acoustics

2020 ◽  
Vol 369 ◽  
pp. 113223
Author(s):  
Alice Lieu ◽  
Philippe Marchner ◽  
Gwénaël Gabard ◽  
Hadrien Bériot ◽  
Xavier Antoine ◽  
...  
Keyword(s):  
Finite Elements ◽  
Domain Decomposition ◽  
Decomposition Method ◽  
Domain Decomposition Method ◽  
High Order ◽  
Overlapping Schwarz

scholarly journals A New Mixed Functional-probabilistic Approach for Finite Element Accuracy

2020 ◽  
Vol 20 (4) ◽  
pp. 799-813
Author(s):  
Joël Chaskalovic ◽  
Franck Assous
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Asymptotic Relation ◽  
Probabilistic Approach ◽  
Random Variable ◽  
High Order ◽  
Relative Accuracy ◽  
The Difference ◽  
New Perspective

AbstractThe aim of this paper is to provide a new perspective on finite element accuracy. Starting from a geometrical reading of the Bramble–Hilbert lemma, we recall the two probabilistic laws we got in previous works that estimate the relative accuracy, considered as a random variable, between two finite elements {P_{k}} and {P_{m}} ({k<m}). Then we analyze the asymptotic relation between these two probabilistic laws when the difference {m-k} goes to infinity. New insights which qualify the relative accuracy in the case of high order finite elements are also obtained.

scholarly journals High-order curvilinear finite elements for axisymmetric Lagrangian hydrodynamics

2013 ◽  
Vol 83 ◽  
pp. 58-69 ◽  
Author(s):  
Veselin A. Dobrev ◽  
Truman E. Ellis ◽  
Tzanio V. Kolev ◽  
Robert N. Rieben
Keyword(s):  
Finite Elements ◽  
High Order ◽  
Lagrangian Hydrodynamics
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