scholarly journals Projection-Based Finite Elements for Nonlinear Function Spaces

2019 ◽  
Vol 57 (1) ◽  
pp. 404-428 ◽  
Author(s):  
Philipp Grohs ◽  
Hanne Hardering ◽  
Oliver Sander ◽  
Markus Sprecher
Keyword(s):  
Finite Elements ◽  
Nonlinear Function ◽  
Function Spaces

MODELING OF ELECTROSTATIC PROBLEM VIA A SUBPROBLEM FINITE ELEMENT METHOD

2020 ◽  
pp. 98-104
Author(s):  
Vuong
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Electric Field ◽  
Function Space ◽  
Scalar Potential ◽  
Function Spaces ◽  
Electrostatic Problem ◽  
Edge Elements ◽  
Element Method

This work deals with the modeling of electrostatic problem by means of a subproblem finite element method. The aim of this paper is to present naturally the distributions of the electric scalar potential and the electric field in regions existing the various voltages or difference of voltages. The method permits to simultaneously use both node and edge elements in function spaces of the studied problem. Indeed, the distributed fields (e.g. electric scalar potential and electric field) are presented in the same function space and a week formulation written for both nodal and edge finite elements.

scholarly journals Nonlinear Alleviation of Edge Effects in the Context of Minimizing Prediction Errors

2018 ◽  
Vol 10 (2) ◽  
pp. 161
Author(s):  
Monika Hadas-Dyduch
Keyword(s):  
Finite Elements ◽  
Wavelet Analysis ◽  
Edge Effects ◽  
Nonlinear Function ◽  
Innovative Approach ◽  
Prediction Errors ◽  
Daubechies Wavelet ◽  
Vanishing Moments ◽  
Filter Length ◽  
Orthogonal Wavelets

The aim of this article is to describe so-called “edge effects” in the context of wavelet analysis. The problem of “edge effects” is displayed in cases where the filter length is greater than 2. This is due to the fact that the calculation of the wavelet coefficients for the development of the last signal of finite elements, the filter - should theoretically move beyond the signal. The article describes different ways to solve this problem using an authored approach. One of the ways presented in the article is an innovative approach in terms of “edge effects”. The author’s proposal is based on the nonlinear function of the trend after the division of the series into smaller units. The results obtained show that in comparison with other methods, the author’s method reduces errors. In this article, the Daubechies wavelet was used for the study. The Daubechies wavelets are a family of orthogonal wavelets, characterized by a maximum number of vanishing moments for a given support.

Finite elements-boundary elements coupling for the movement modeling in two-dimensional structures

1992 ◽  
Vol 2 (11) ◽  
pp. 2035-2044 ◽  
Author(s):  
A. Nicolet ◽  
F. Delincé ◽  
A. Genon ◽  
W. Legros
Keyword(s):  
Finite Elements ◽  
Boundary Elements ◽  
Two Dimensional
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