A new numerical method for BLT forward problem based on high-order finite elements

2009 ◽  
Vol 25 (6) ◽  
pp. 667-681 ◽  
Author(s):  
Yanbin Hou ◽  
Jie Tian ◽  
Yan Wu ◽  
Jimin Liang ◽  
Xiaowei He
Keyword(s):  
Finite Elements ◽  
Numerical Method ◽  
High Order ◽  
Forward Problem

Guided and Leaky Modes of Planar Waveguides: Computation via High Order Finite Elements and Iterative Methods

PIERS Online ◽  
2010 ◽  
Vol 6 (7) ◽  
pp. 669-673 ◽  
Author(s):  
David Stowell ◽  
Johannes Tausch
Keyword(s):  
Finite Elements ◽  
Iterative Methods ◽  
High Order ◽  
Planar Waveguides ◽  
Leaky Modes

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

A high-order numerical method for solving nonlinear Lane-Emden type equations arising in astrophysics

2018 ◽  
Vol 363 (12) ◽  
Author(s):  
Soner Aydinlik ◽  
Ahmet Kiris
Keyword(s):  
Numerical Method ◽  
High Order

scholarly journals Numerical analysis of stress distribution generated in spherical polyethylene inserts by knee joint endoprotheses’ sleds

2019 ◽  
Vol 21 (2) ◽  
pp. 1-5
Author(s):  
Marcin Nabrdalik ◽  
Michał Sobociński
Keyword(s):  
Numerical Analysis ◽  
Finite Elements ◽  
Stress Distribution ◽  
Knee Joint ◽  
Titanium Alloys ◽  
Numerical Method ◽  
Ti6al4v Alloy ◽  
Finite Elements Method ◽  
Weak Points ◽  
Metal Materials

Abstract The paper presents analysis of stress distribution in the friction node of knee joint endoprosthesis where sleds are made of various titanium alloys and CoCrMo cooperate with spherical polyethylene inserts. Currently used titanium alloys consists of Nb, Ta, Zr or Mo and with lesser value of Young’s modulus than Ti6Al4V alloy, or steel CoCrMo, which significantly varies from other metal materials. The obtained results make it possible to indicate the “weak points” of the accepted solution, and thus counteract the subsequent effects resulting from premature wear of endoprosthesis elements. The analysis was conducted with numerical method of ADINA System 8.6. The Finite Elements Method allowed to compute and present stress distribution quickly in all elements of the model.

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