Results 61 to 70 of about 754,861 (93)

A Multilevel Correction Scheme for Nonsymmetric Eigenvalue Problems by Finite Element Methods [PDF]

arXiv, 2015
A multilevel correction scheme is proposed to solve defective and nodefective of nonsymmetric partial differential operators by the finite element method. The method includes multi correction steps in a sequence of finite element spaces. In each correction step, we only need to solve two source problems on a finer finite element space and two ...
arxiv  

Bone Anisotropy - Analytical and Finite Element Analysis

Latin American Journal of Solids and Structures
A human femur model, submitted to static loads, is analyzed through the utilization of three material constitutive relationships, namely: isotropic, transversally isotropic and orthotropic.
Lucas Lisboa Vignoli, Paulo Pedro Kenedi
doaj   +1 more source

A general quadratic enrichment of the Crouzeix--Raviart finite element [PDF]

arXiv
The Crouzeix--Raviart finite element method is widely recognized in the field of finite element analysis due to its nonconforming nature. The main goal of this paper is to present a general strategy for enhancing the Crouzeix--Raviart finite element using quadratic polynomial functions and three additional general degrees of freedom.
arxiv  

The optimal aspect ratio for piecewise quadratic anisotropic finite element approximation [PDF]

arXiv, 2011
Mesh adaptation for finite element approximation is a procedure used in numerous applications. The use of thin and long anisotropic triangles improves the efficiency of the procedure. When piecewise linear finite elements are used, the aspect ratio for mesh adaptation is generally dictated by the absolute value of the (estimated) hessian matrix of the ...
arxiv  

Finite element analysis: A boon to dentistry

Journal of Oral Biology and Craniofacial Research, 2014
The finite element analysis (FEA) is an upcoming and significant research tool for biomechanical analyses in biological research. It is an ultimate method for modeling complex structures and analyzing their mechanical properties. In Implantology, FEA has
Shilpa Trivedi
doaj  

A nonconforming P3 and discontinuous P2 mixed finite element on tetrahedral grids [PDF]

arXiv
A nonconforming $P_3$ finite element is constructed by enriching the conforming $P_3$ finite element space with three $P_3$ nonconforming bubbles and six additional $P_4$ nonconforming bubbles, on each tetrahedron. Here the divergence of the $P_4$ bubble is not a $P_3$ polynomial, but a $P_2$ polynomial.
arxiv  

A nonconforming P2 and discontinuous P1 mixed finite element on tetrahedral grids [PDF]

arXiv
A nonconforming $P_2$ finite element is constructed by enriching the conforming $P_2$ finite element space with seven $P_2$ nonconforming bubble functions (out of fifteen such bubble functions on each tetrahedron). This spacial nonconforming $P_2$ finite element, combined with the discontinuous $P_1$ finite element on general tetrahedral grids, is inf ...
arxiv  

Finite Element Analysis of Fixed Orthodontic Retainers

Bioengineering
The efficacy of retainers is a pivotal concern in orthodontic care. This study examined the biomechanical behaviour of retainers, particularly the influence of retainer stiffness and tooth resilience on force transmission and stress distribution.
Sebastian Hetzler, Stefan Rues, Andreas Zenthöfer, Peter Rammelsberg, Christopher J. Lux, Christoph J. Roser   +5 more
doaj   +1 more source

IMPACT OF IMPLANT-RETAINED MANDIBULAR OVERDENURE ON ORAL MUCOSA – A FINITE ELEMENT ANALYSIS

Romanian Journal of Oral Rehabilitation, 2020
Aim of the study This study aims to analyze the impact that the mandibular overdenture has on the underlying oral mucosa from the perspective of number of implants used in retention of the overdenture.
Sînziana Anca Butnaru Moldoveanu, Florin Munteanu, Norina Consuela Forna   +2 more
doaj  

A direct finite element method for elliptic interface problems [PDF]

arXiv
In this paper, a direct finite element method is proposed for solving interface problems on simple unfitted meshes. The fact that the two interface conditions form a $H^{\frac12}(\Gamma)\times H^{-\frac12}(\Gamma)$ pair leads to a simple and direct weak formulation with an integral term for the mutual interaction over the interface, and the well ...
arxiv