Application of discrete-continual finite element method for global and local analysis of multilevel systems

2014 ◽  
Author(s):  
Pavel A. Akimov ◽  
Alexandr M. Belostoskiy ◽  
Vladimir N. Sidorov ◽  
Marina L. Mozgaleva ◽  
Oleg A. Negrozov
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Local Analysis ◽  
Multilevel Systems ◽  
Global And Local ◽  
Element Method

Wavelet-Based Multilevel Discrete-Continual Finite Element Method for Local Deep Beam Analysis

2013 ◽  
Vol 405-408 ◽  
pp. 3165-3168 ◽  
Author(s):  
Pavel A. Akimov ◽  
Marina L. Mozgaleva
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Local Analysis ◽  
Geometrical Parameters ◽  
Deep Beam ◽  
Piecewise Constant ◽  
Beam Analysis ◽  
Constant Coefficients ◽  
Operational Formulation ◽  
Element Method

High-accuracy solution of the problem of deep beam analysis is normally required in some pre-known domains (regions with the risk of significant stresses that could potentially lead to the destruction of structure, regions which are subject to specific operational requirements). The distinctive paper is devoted to correct wavelet-based multilevel discrete-continual finite element method for local analysis of deep beams with regular (in particular, constant or piecewise constant) physical and geometrical parameters (properties) in one direction. Initial discrete-continual operational formulation of the considering problem and corresponding operational formulation with the use of wavelet basis are presented. Due to special algorithms of averaging within multigrid approach, reduction of the problem is provided. Resultant multipoint boundary problem of structural mechanics for system of ordinary differential equations with piecewise-constant coefficients is given.

Wavelet-Based Multilevel Discrete-Continual Finite Element Method for Local Plate Analysis

2013 ◽  
Vol 351-352 ◽  
pp. 13-16 ◽  
Author(s):  
Pavel A. Akimov ◽  
Marina L. Mozgaleva
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
High Accuracy ◽  
Local Analysis ◽  
Geometrical Parameters ◽  
Piecewise Constant ◽  
Constant Coefficients ◽  
Plate Analysis ◽  
Operational Formulation ◽  
Element Method

High-accuracy solution of the problem of plate analysis is normally required in some pre-known domains (regions with the risk of significant stresses that could potentially lead to the destruction of structure, regions which are subject to specific operational requirements). The distinctive paper is devoted to correct wavelet-based multilevel discrete-continual finite element method for local analysis of plates with regular (in particular, constant or piecewise constant) physical and geometrical parameters (properties) in one direction. Initial discrete-continual operational formulation of the considering problem and corresponding operational formulation with the use of wavelet basis are presented. Due to special algorithms of averaging within multigrid approach, reduction of the problem is provided. Resultant multipoint boundary problem of structural mechanics for system of ordinary differential equations with piecewise-constant coefficients is given.

Analysis of Interacting Cracks Using the Generalized Finite Element Method With Global-Local Enrichment Functions

2008 ◽  
Vol 75 (5) ◽  
Author(s):  
Dae-Jin Kim ◽  
Carlos Armando Duarte ◽  
Jeronymo Peixoto Pereira
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Experiments ◽  
Local Analysis ◽  
Generalized Finite Element Method ◽  
Global Approximation ◽  
Local Boundary ◽  
Local Enrichment ◽  
Generalized Finite Element ◽  
Element Method

This paper presents an analysis of interacting cracks using a generalized finite element method (GFEM) enriched with so-called global-local functions. In this approach, solutions of local boundary value problems computed in a global-local analysis are used to enrich the global approximation space through the partition of unity framework used in the GFEM. This approach is related to the global-local procedure in the FEM, which is broadly used in industry to analyze fracture mechanics problems in complex three-dimensional geometries. In this paper, we compare the effectiveness of the global-local FEM with the GFEM with global-local enrichment functions. Numerical experiments demonstrate that the latter is much more robust than the former. In particular, the GFEM is less sensitive to the quality of boundary conditions applied to local problems than the global-local FEM. Stress intensity factors computed with the conventional global-local approach showed errors of up to one order of magnitude larger than in the case of the GFEM. The numerical experiments also demonstrate that the GFEM can account for interactions among cracks with different scale sizes, even when not all cracks are modeled in the global domain.

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.

Sign in / Sign up

Export Citation Format

Share Document