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Topic: Finite elements


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In the News (Fri 1 Jan 10)

  
  Finite element method - Wikipedia, the free encyclopedia
Finite element methods have also been developed to approximately solve integral equations such as the heat transport equation.
Finite element methods are used in a wide variety of engineering disciplines, e.g., electromagnetics.
Typically, in the finite element method, the set F is chosen directly, and is not usually construed to be a subset of some E.
en.wikipedia.org /wiki/Finite_element_method   (1468 words)

  
 Finite Elements Short Course
The finite element method is ideally suited for modeling these more complex problems and most programs can now be run comfortably on a personal computer.
Slope stability is particularly well suited to analysis by the finite element method because there is no need for a "trial-and-error" search for the minimum factor or safety, nor do any assumptions need to be made in advance about the shape or location of the failure surface.
Engineers will be given an appreciation of the advantages and possible pitfalls of the finite element method as applied to geotechnical problems and the course should remove some of the mystique of "fl-box" software in which the source code is invisible.
www.mines.edu /Outreach/Cont_Ed/fege.htm   (860 words)

  
 Finite Elements   (Site not responding. Last check: 2007-11-06)
The truss and the cubic beam element are the most widely used finite elements for bar, beam, or column modeling.
The rib element is a 3-node isoparametric element with quadratic displacement interpolation that can be used similar to the beam element (but takes account for the shear deformations) or in conjunction with surface elements for eccentric rib modeling.
The surface elements are isoparametric flat quadrilateral (8/9-node) or triangular (6-node) elements.
www.axisvm.com /finite_elements.htm   (550 words)

  
 Mixed Finite Elements For Elasticity - Arnold, Winther (ResearchIndex)   (Site not responding. Last check: 2007-11-06)
This requires the development of a compatible pair of finite element spaces, one to discretize the space of symmetric tensors in which the stress field is sought, and one to discretize the space of vector fields in which the displacement is sought.
Although there are number of well-known mixed finite element pairs known for the...
1 finite elements with optimal approximation properties for va..
citeseer.ist.psu.edu /467474.html   (568 words)

  
 Mechanics of Solids: Finite elements 101   (Site not responding. Last check: 2007-11-06)
The basic principle behind the finite element method is evidently exceedingly simple.  The key to its success is to devise an implementation that minimizes the computational cost associated with calculating and storing the stiffness matrix, and solving the resulting system of linear equations.
Within each element, we interpolate the displacement field through the nodes on that element only.  So, we would use a linear interpolation between the nodes on a 2-noded element, a quadratic interpolation between the nodes on a 3 noded element, and so on.
Generic linear and quadrilateral 1-D elements are illustrated below.  The local nodes on the element are numbered 1 and 2 for the linear element, and 1,2,3 for the quadratic element as shown.  We suppose that the element lies in the region
www.engin.brown.edu /courses/En222/Notes/FEMtheory/FEMtheory.htm   (2672 words)

  
 Finite Elements (Domain Decomposition)
Finite methods, especially finite difference (FDM), finite element (FEM) and boundary element (BEM) methods, are probably the most important techniques for numerical simulation in mechanical and electrical engineering, physics, chemistry and biology.
The finite element method is used for stability calculation in many areas, e.g.
One of the major disadvantages of FEM is the high amount of computation time required to simulate problems of practical size with sufficient accuracy, especially in the 3D case.
wwwcs.upb.de /fachbereich/AG/monien/RESEARCH/domain_decomposition.html   (567 words)

  
 Time - Wikipedia, the free encyclopedia
With Kant, neither space nor time are conceived as substances, but rather both are elements of a systematic framework we use to structure our experience.
In Existentialism, time is considered fundamental to the question of being, in particular by the philosopher Martin Heidegger.
A tesseract, a cube in 3 dimensions extended to a fourth, as a description of time; adhering to defined finite bounds, all possibilities for this configuration are conceptually representable.
en.wikipedia.org /wiki/Time   (1784 words)

  
 Finite Elements for Electrical Engineers   (Site not responding. Last check: 2007-11-06)
Silvester, Peter P. and Ferrari, Ronald L. This third edition of the principal text on the finite element method for electrical engineers and electronics specialists presents the method in a mathematically undemanding style, accessible to undergraduates who may be encountering it for the first time.
Like the earlier editions, it begins by deriving finite elements for the simplest familiar potential fields, and then formulates finite elements for a wide range of applied electromagnetics problems.
Simplex elements for the scalar Helmholtz equation/ 5.
jas2.eng.buffalo.edu /Research/FE/FEforEE.html   (173 words)

  
 Finite Elements   (Site not responding. Last check: 2007-11-06)
In order to keep errors from the finite element approximation and the boundary approximation at the same level, it is wise to use curved mesh elements.
On each simplex, the functions in the Hermite finite element space are the same as for the Lagrange element, namely, all polynomials of degree (at most) k in the local coordinates.
Note that the functions in the Hermite finite element space have continuous derivatives between mesh elements at the mesh vertices.
www-math.cudenver.edu /~jmandel/doc/refman/comman22.htm   (1432 words)

  
 Library of Finite Elements
Figure 5 : Flat Shell Element with Drilling D.O.F. The theoretical formulation of this shell finite element, and numerical examples of its performance may be found in the masters thesis of Lanheng Jin.
The nonlinear constitutive relations of the overall element cross-section are derived by integration of the nonlinear stress-strain relations of the individual fibers.
The section properties defined here are for the whole element, and include the element's total cross-section "area" ("area" may be computed from the section "depth" times its "width" or "bf").
www.isr.umd.edu /~austin/aladdin.d/fe-library.html   (1847 words)

  
 Amazon.ca: Books: Structural Analysis With Finite Elements   (Site not responding. Last check: 2007-11-06)
Structural Analysis with Finite Elements develops the foundations and applications of the finite element method in structural analysis in a language which is familiar to structural engineers.
This innovative text explores and explains issues such as: why finite element results are 'wrong,' why support reactions are relatively accurate, why stresses at midpoints are more reliable, why averaging the stresses sometimes may not help or why the equilibrium conditions are violated.
Structural Analysis with Finite Elements provides a new foundation for the finite element method that enables structural engineers to address key questions that arise in computer modelling of structures with finite elements.
www.amazon.ca /exec/obidos/ASIN/3540404163   (294 words)

  
 Finite Elements In Electromagnetics. Books.
The finite element method is one of the preeminent simulation techniques for obtaining solutions to boundary-value problems in mathematical physics.
Employing an example to introduce the concept of the finite element method and describe the essential steps of the technique, the author lays groundwork for a broad-based understanding of the finite element method's usefulness.
He completes his coverage by describing the finite element analysis of one-, two-, and three-dimensional problems, developing for each problem a rigorous finite element solution in general form from which solutions to specific problems can be deduced.
www.fut.es /~sje/books/fea.htm   (741 words)

  
 Finite Elements Analysis
Nonlinear finite element analysis (FEA) software for engineering structural analysis offering automated nonlinear analysis of contact problems commonly found in rubber and metal forming and many other applications.
Finite Element / Numerical Methods with Object-Oriented Programming in C++; VectorSpace C++ Library is for advanced numerical computation such as constrained optimization, variational methods, and Computational Mechanics.
Finite Element Analysis: PDEase Mathematical software solves problems in heat transfer, reaction diffusion, solid mechanics, fluid mechanics, electromagnetics, groundwater flow, quantum mechanics and more by finite element method.
www.reference.com /Dir/Science/Technology/Software_for_Engineering/Finite_Elements_Analysis   (211 words)

  
 Finite elements   (Site not responding. Last check: 2007-11-06)
This is normally done using finite differences, as illustrated in Fig.
To compute plasmon resonances in small particles, this approach turned out not to be stable enough to cope with the extremely rapid field variations that can take happen in that case.
In that case, the scatterer is decomposed into triangular elements [Fig.
www.ifh.ee.ethz.ch /~martin/res02.en.html   (448 words)

  
 New Book on Finite Elements   (Site not responding. Last check: 2007-11-06)
We take into account that most of the research is now concentrated on finite elements for hard problems and on the fast solution of the resulting equations.
Many facts in finite element theory are counterintuitive for students who have studied ordinary differential equations before.
Finite Elements in Solid Mechanics We intend to establish later a www page with additional remarks and a list of misprints.
www.csc.fi /math_topics/Mail/NANET97-2/msg00079.html   (258 words)

  
 Mixed Finite Elements as Finite (ResearchIndex)   (Site not responding. Last check: 2007-11-06)
Abstract: Five procedures of mixed finite element type for solving elliptic partial differential equations on triangttlar meshes are presented: the standard and hybrid mixed methods, the recently introduced expanded mixed method, and two new methods.
The efficient implementation of these procedures using the lowest-order Raviart-Thomas approximating spaces defined on triangttlar elements is discussed.
12 error estimates for nonconforming and mixed finite element m..
citeseer.ist.psu.edu /594687.html   (441 words)

  
 Open Directory - Science: Technology: Software for Engineering: Finite Element Analysis   (Site not responding. Last check: 2007-11-06)
CAEFEM - A Windows-based finite element analysis system used to perform both linear and nonlinear structural and thermal analyses of design models and assemblies.
Computer Aided analysis of structures using the Finite Element Method - Free FEA software developed by students of BIST which can be used for analysis of structures like beams, trusses and Plates.
From the analysis, it is possible to determine the primary and secondary current distribution of the electrochemical cells and it is possible to obtain other data such as over potential of reactions, and coating thickness.
dmoz.org /Science/Technology/Software_for_Engineering/Finite_Element_Analysis   (1686 words)

  
 Finite Elements - Fortran :: Languages :: Development Links   (Site not responding. Last check: 2007-11-06)
Code for graphics, finite elements, random number generation, and other topics.
General purpose finite element analysis program which is designed for research and educational use.
The "FInite DIfference SOLver/Cartesian Arbitrary Domain SOLver" is a program package for the solution of partial differential equations.
fortran.languages.development-links.info /directory/finite-elements.html   (272 words)

  
 Finite Elements - Cambridge University Press
The most important application of finite elements is the numerical solution of elliptic partial differential equations.
Specifically, the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering.
‘This is a well written book on the mathematical foundation of the finite element method which should appeal to graduate mathematicians and researchers in numerical methods and theoretical mechanics.
www.cambridge.org /catalogue/catalogue.asp?isbn=0521011957   (274 words)

  
 GuideMe.com Finite Element Method Bookstore   (Site not responding. Last check: 2007-11-06)
Concepts and applications of finite element analysis; a treatment of the finite element method as used for the analysis of displacement, strain, and stress ~
Finite Element Approximation of the Navier-Stokes Equations Vol 749 ~
Finite elements in nonlinear mechanics : papers presented at the International conference on finite elements in nonlinear solid and structural mechanics, held at Geilo, Norway in August 1977 ; editors, Pêal G. Bergan...
www.guideme.com /Bookstores/FEM.HTM   (3670 words)

  
 Isoparametric Finite Elements
Furthermore, we may standardize the coordinate system on a local element such that each local element has the same shape and the same local coordinate system defined on it.
The global description and shape of each element may be different, depending on the values of the global coordinates defined at its nodes.
We may then regard the local elements as master elements in the same way as mentioned in section ( 2.1).
www.maths.monash.edu.au /~mvelic/fem/node12.html   (350 words)

  
 ALADDIN MATRIX AND FINITE ELEMENT ENVIRONMENT
Aladdin is a computational toolkit for the interactive matrix and finite element analysis of large engineering structures, particularly building and highway bridge structures.
Currently, the finite element library includes elements for plane stress/plane strain analysis, two-dimensional beam/column analysis, three-dimensional truss analysis, DKQ plate analysis, and a variety of shell finite elements.
We are currently working on finite elements and numerical algorithms for the analysis of structures undergoing large geometric displacements, and problems involving fluid flow and fluid-structure interaction.
www.isr.umd.edu /~austin/aladdin.html   (914 words)

  
 Finite Elements Numerics   (Site not responding. Last check: 2007-11-06)
We build this model using the NM SESES™ finite element software ( http://www.nmtec.ch) whose features will be presented in due time.
The finite element approach (FEM) is the method of choice for numerical simulations of devices.
Circuit simulation as well as finite element algorithms are based on the conservation laws that should hold at discrete times.
elearning.zhwin.ch /twins/fe1.html   (538 words)

  
 Finite Elements
The key ingredient of finite elements is that the interpolant is determined uniquely on each triangle by data on that triangle.
Coefficients at the three red points at each vertex of the macrotriangle are obtained by interpolating to function values and gradients at the vertices of the triangle.
The green points in the minimal determining set are obtained similarly as in the quintic element, either by interpolating to perpendicular CBDs at the centers of the edges, or by requiring that the perpendicular CBDs be linear along each edge.
www.math.utah.edu /~alfeld/MDS/felm.html   (555 words)

  
 Ahmed El-Sheikh   (Site not responding. Last check: 2007-11-06)
During surfing the net, I collected a huge number of course notes as well as reports and papers about the finite element Method.
Vector-Space is a company dedicated to the development of OO finite element toolbox and they have a complete documentation for their code with a good introduction to the Theory of the finite element.
This is a great course note form a Mathematician professor who is considered one of the worlds leaders in Adaptive methods and error analysis of the finite element method.
elsheiam.20m.com /FEcorner.html   (287 words)

  
 Finite Elements
This book presents an introduction to the fundamentals of finite element methods with computer applications.
Finite element methods are used by many engineers and scientist for solving boundary value problems that arise in product development.
With capabilities of computers expanding at an unthinkable pace, the importance of using massive computing power to perform finite element analyses must be emphasized.
www.collegehousebooks.com /finite_elements.htm   (667 words)

  
 Finite Elements: Theory & Applications (H3045)   (Site not responding. Last check: 2007-11-06)
Linear and quadratic bar elements: their use in stress analysis and heat conduction problems.
Isoparametric 2 and 3D elements with particular application to stress analysis and heat conduction problems.
Use of finite elements in vibrations and fluid-flow problems.
www.sussex.ac.uk /engineering/H3045.html   (164 words)

  
 Designing Finite Elements
It lets you choose m which is the number of interior edges attached to each vertex of the macro triangle.
In either case, in the finite element control panel you can impose both kinds of conditions.
Once everything is set up, clicking on the "set It" button will add points the MDS that correspond to the usual boundary data on a finite element.
www.math.utah.edu /~alfeld/MDS/felm   (505 words)

  
 Omniseek: /Computing /Software /Mathematical /Finite Elements Analysis /
Finite Elements- Theory and Application Springer Verlag, New York, 1988, 302 pp.
Advances in Finite Elements: Fundamentals and Mathematical Aspects Brenner, S. and Scott, L. The Mathematical Theory of Finite Element Methods Springer Verlag, Berlin/Heidelberg, 1994, 294 pp.
Finite elements analysis shows that SPring-8 insertion devices: finite -element analysis for a heat
www.omniseek.com /srch/{23252}   (485 words)

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