scholarly journals Geometry-Adapted Hexahedral Meshes Improve Accuracy of Finite-Element-Method-Based EEG Source Analysis

2007 ◽  
Vol 54 (8) ◽  
pp. 1446-1453 ◽  
Author(s):  
C.H. Wolters ◽  
A. Anwander ◽  
G. Berti ◽  
U. Hartmann
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Source Analysis ◽  
Eeg Source Analysis ◽  
Improve Accuracy ◽  
Hexahedral Meshes ◽  
Element Method

On an Efficient Finite Element Method for Navier-Stokes-ω with Strong Mass Conservation

2011 ◽  
Vol 11 (1) ◽  
pp. 3-22 ◽  
Author(s):  
Carolina C. Manica ◽  
Monika Neda ◽  
Maxim Olshanskii ◽  
Leo G. Rebholz ◽  
Nicholas E. Wilson
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mass Conservation ◽  
Navier Stokes ◽  
Well Posedness ◽  
Velocity Error ◽  
Mesh Width ◽  
Improve Accuracy ◽  
Approximate Deconvolution ◽  
Element Method

AbstractWe study an efficient finite element method for the NS-ω model, that uses van Cittert approximate deconvolution to improve accuracy and Scott-Vogelius elements to provide pointwise mass conservative solutions and remove the dependence of the (often large) Bernoulli pressure error on the velocity error. We provide a complete numerical analysis of the method, including well-posedness, unconditional stability, and optimal convergence. Additionally, an improved choice of filtering radius (versus the usual choice of the average mesh width) for the scheme is found, by identifying a connection with a scheme for the velocity-vorticity-helicity NSE formulation. Several numerical experiments are given that demonstrate the performance of the scheme, and the improvement offered by the new choice of the filtering radius.

Structure Analysis with 3D Hexahedral Meshes Generated by a Label-Driven Subdivision

2018 ◽  
Vol 12 (1) ◽  
pp. 113-122
Author(s):  
Bo Liu ◽  
◽  
Kenjiro T. Miura ◽  
Shin Usuki
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Structure Analysis ◽  
Three Dimensions ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Hexahedral Element ◽  
Hexahedral Meshes ◽  
Subdivision Algorithm ◽  
Element Method

For structure analysis with the finite element method (FEM), the hexahedral element is preferable to the tetrahedral one from the viewpoint of accuracy. Previously, we had introduced a label-driven subdivision method for a two-dimensional mesh and showed that the meshes generated by our method were useful for structural analyses. In this study, we extend our two-dimensional algorithm to three-dimensions and verify that the meshes generated by the proposed mesh-subdivision algorithm are useful for structural analyses.

A full subtraction approach for finite element method based source analysis using constrained Delaunay tetrahedralisation

NeuroImage ◽  
2009 ◽  
Vol 46 (4) ◽  
pp. 1055-1065 ◽  
Author(s):  
F. Drechsler ◽  
C.H. Wolters ◽  
T. Dierkes ◽  
H. Si ◽  
L. Grasedyck
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Source Analysis ◽  
Element Method

scholarly journals Numerical approaches for dipole modeling in finite element method based source analysis

2007 ◽  
Vol 1300 ◽  
pp. 189-192 ◽  
Author(s):  
C.H. Wolters ◽  
H. Köstler ◽  
C. Möller ◽  
J. Härdtlein ◽  
A. Anwander
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Source Analysis ◽  
Dipole Modeling ◽  
Numerical Approaches ◽  
Element Method

scholarly journals The accuracy of numerical methods for the analysis of electrostatic fields

2021 ◽  
Vol 7 (1) ◽  
pp. 59-70
Author(s):  
Vladimir N. Taran ◽  
Maxim V. Shevlyugin ◽  
Aleksey V. Shandybin
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Methods ◽  
Analytical Solution ◽  
Electromagnetic Fields ◽  
The Finite Element Method ◽  
Electrostatic Fields ◽  
Improve Accuracy ◽  
Real Objects ◽  
Element Method

Aim: Estimation of the accuracy of the numerical method relative to the analytical solution. Methods: This article reports on studies of the accuracy of numerical calculations based on the finite element method. The variational scheme of the method is considered. Results: The dependences of errors on the number of simplexes used are obtained and analyzed. The authors noted ways to further improve accuracy. Conclusion: The article gives recommendations on the possible application of the finite element method in solving problems of calculating the electromagnetic fields of real objects.

Simulation of tuning graphene plasmonic behaviors by ferroelectric domains for self-driven infrared photodetector applications

Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interfacial Effect ◽  
Infrared Photodetector ◽  
The Finite Element Method ◽  
Ferroelectric Domains ◽  
Element Method

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.

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