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Topic: Boundary Element Method


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In the News (Wed 30 May 12)

  
  Publication list of Ernst P. Stephan (14-May-1999)
Fundamentals of the Finite Element Method (with W.J. Layton)
Mund, E.P. Stephan: An adaptive two/level method for the hypersingular integral equations in
An h-p method with quasiuniform mesh for integral equations on polygons.
www.ifam.uni-hannover.de /~stephan/publication.html   (3917 words)

  
 The boundary element method extends the limits of analysis. | Business   (Site not responding. Last check: 2007-11-03)
The boundary element method of analysis is experiencing a resurgence almost a century after the mathematics behind it were first developed.
Boundary element software is becoming popular in the analysis of complex 3-D solid components, where it is difficult for users to build FEM models even using p-type elements, said Jon Trevelyan, vice president of Computational Mechanics Inc. (Billerica, Mass.), makers of the Beasy BEM code.
Boundary elements remove the need to mesh throughout the volume of the component.
www.allbusiness.com /periodicals/article/352096-1.html   (625 words)

  
 Quantic - Boundary Element Method
Using this method, conductors and dielectric interfaces are divided into boundary elements over which the free and polarization charges and currents are computed.
Finite difference and finite element methods result in fields in space (with artificial boundaries needed to truncate the regions) and numerical differentiation (with significant error introduced) needed to produce the surface charges.
The boundary element methodologies, used by Quantic, are generally considered to be the most accurate available.
www.quantic-emc.com /boundary_element.asp   (529 words)

  
 Nonuniform Torsion of Composite Bars by Boundary Element Method   (Site not responding. Last check: 2007-11-03)
In this paper a boundary element method is developed for the nonuniform torsion of composite bars of arbitrary constant cross section.
Two boundary-value problems with respect to the variable along the beam angle of twist and to the warping function at the shear center are formulated and solved employing a BEM approach.
Numerical results are presented to illustrate the method and demonstrate its efficiency and accuracy.
www.pubs.asce.org /WWWdisplay.cgi?0105049   (193 words)

  
 Boundary Element Analysis: Theory & Programming
in solid mechanics the superiority of the scaled boundary finite element method manifests itself overwhelmingly in two types of analyses: in the presence of  singularities in statics and dynamics and for unbounded media satisfying rigorously the boundary (radiation) condition at infinity.
The latter methods are extensions that permit the application of BME to anisotropic materials, as well as multi-field problems and fluid-structure interaction.
The Boundary Element Method is used as an appropriate solution technique for these problems involving complex geometries, and often unbounded media.
www.olemiss.edu /sciencenet/benet/newbook.html   (808 words)

  
 Conference on the Boundary Element Method   (Site not responding. Last check: 2007-11-03)
The continuous success of applying BEM to difficult engineering and scientific problems has resulted in it continuing to be an area of very active research.
BEM can now solve complex engineering problems and has been accepted as an alternative to other analysis techniques.
This conference is internationally recognised as the forum for boundary element research and continues to attract a large number of well established practitioners.
www.csc.fi /math_topics/Mail/NANET96/msg00039.html   (279 words)

  
 BEAMUP Home Page   (Site not responding. Last check: 2007-11-03)
BEAMUP is a general purpose two-dimensional computer program based on the boundary element method that can be used for solving a vast variety of problems in engineering.
Problems in which the boundary is changing such as in shape optimization and crack growth.
Boundary conditions could be on primary variable, secondary variables, mixed and several combinations of primary and secondary varriables(e.g.
www.me.mtu.edu /~mavable/BEAMUP   (420 words)

  
 Books on the Boundary Element Method in Acoustics   (Site not responding. Last check: 2007-11-03)
The Boundary Element Method in Acoustics serves as an introduction to the BEM and its application to acoustic problems and goes on to complete the development of computational models.
Boundary element methods are developed for three important classes of acoustic or Helmholtz problems: modelling the acoustic field either interior or exterior to a closed surface or carrying out an acoustic modal analysis.
A very general development of the methods is followed so that the widest range of engineering problems is covered.
www.science-books.net /bemac.htm   (278 words)

  
 Fast Boundary Element Method for the Linear Poisson-Boltzmann Equation
Unlike previous fast boundary element implementations, the present treatment accommodates finite salt concentrations thus enabling the study of biomolecular electrostatics under realistic physiological conditions.
The particular formulation adopted in the boundary element treatment directly affects the numerical conditioning and thus convergence behavior of the method.
Next, the multipole approximation and its use in the context of a fast boundary element method are described together with the iteration method employed to extract the surface distributions.
pubs.acs.org /cgi-bin/abstract.cgi/jpcbfk/2002/106/i10/abs/jp013607q.html   (259 words)

  
 Wiley::The Scaled Boundary Finite Element Method
Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced.
In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required.
In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense.
www.wiley.com /WileyCDA/WileyTitle/productCd-0471486825.html   (370 words)

  
 Wiley::The Boundary Element Method
The boundary element method (BEM) is a modern numerical technique, which has enjoyed increasing popularity over the last two decades, and is now an established alternative to traditional computational methods of engineering analysis.
The main advantage of the BEM is its unique ability to provide a complete solution in terms of boundary values only, with substantial savings in modelling effort.
This two volume book set is designed to provide the readers with a comprehensive and up-to-date account of the boundary element method and its application to solving engineering problems.
eu.wiley.com /WileyCDA/WileyTitle/productCd-0470841397.html   (317 words)

  
 The Complex Variable Boundary Element Method (More)   (Site not responding. Last check: 2007-11-03)
The Complex Variable Boundary Element Method or CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method or BIEM.
Another feature of the CVBEM is the integrations of the boundary integrals along each boundary element are solved exactly without the need for numerical integration.
A sophistication of the relative error analysis is the generation of an approximative boundary upon which the CVBEM approximation function exactly solves the boundary conditions of the boundary value problem (of the Laplace equation), and the goodness of approximation is easily seen as a closeness-of-fit between the approximative and true problem boundaries.
www.hromadka.net /COMPLE1_More.html   (869 words)

  
 Boundary Element Method in CPO
The BEM is ideal for small structures in the presence of large electrodes as well as open systems.
The first group to use the BEM to obtain systematic lens data was the Manchester group, in the early 1970s.
The method is based on the fact that in a system of conducting electrodes, real charges appear on the surfaces of the electrodes when potentials are applied to them.
www.simion.com /cpo/bem.html   (562 words)

  
 Universität Stuttgart - Fakultät 8: Institut für Angewandte Analysis und numerische Simulation - ...
On a free boundary problem for a strongly degenerate quasi-linear parabolic equation with an application to a model of pressure filtration.
Numerical methods for the simulation of continuous sedimentation in ideal clarifier-thickener units.
On the reliability of the influence measure in the transformation method of fuzzy arithmetic.
www.ians.uni-stuttgart.de /publikationen/index.shtml   (1265 words)

  
 Boundary element method: Facts and details from Encyclopedia Topic   (Site not responding. Last check: 2007-11-03)
Boundary element method: Facts and details from Encyclopedia Topic
The boundary element method (also known as boundary integral equation) is a computational method of solving numeric partial differential equations partial differential equation quick summary:
The boundary element method has become more and more popular since the 1980s.
www.absoluteastronomy.com /encyclopedia/b/bo/boundary_element_method.htm   (270 words)

  
 Boundary Element Method for Engineering Simulation
BEM also uses an integral formulation of Maxwell's Equations, which allow for very highly accurate field calculations.
Finite elements solve by breaking up a problem into small regions and solutions are found for each region taking into account only the regions that are right next to the one being solved.
The BEM handles the open regions and linear solution while the FEM handles the non-linear areas.
www.integratedsoft.com /bem.asp   (308 words)

  
 BEST Corporation
The most efficient and accurate 3-D Boundary Element Method analysis available, developed by the people who gave the "Boundary Element Method" it's name.
Boundary Element Software Technology (BEST) Corporation has become a leading provider of Boundary Element Method solutions in the industry today.
"Use of the boundary element method will result in less expensive products since it allows them to move more quickly from the design stage to manufacturing." says Dr. Prasanta K. Banerjee of BEST Corporation "Changes in the geometric configurations are very easy to incorporate on a surface mesh.
www.gpbest.com   (383 words)

  
 c_article   (Site not responding. Last check: 2007-11-03)
Nicholosn, D.W. and Lin B. Finite Element Method for Thermomechanical Response of Near-Incompressible Elastomers.
Partridge, P.W. and Brebbia, C.A. The dual reciprocity boundary element method for the diffusion convection equation.
Chaudonneret, M. On the discontinuity of the stress vector in the boundary integral equation method for elastic analysis.
www.wright.edu /~chen.18/career/c_article.html   (1762 words)

  
 A p-extension of the symmetric boundary element method   (Site not responding. Last check: 2007-11-03)
This paper describes an implementation of the symmetric Galerkin boundary element method for plane potential and elasticity problems on domains with polygonal boundaries.
We demonstrate that the same convergence rates can be obtained by the symmetric variational boundary element method as with p-extensions of the finite element method.
The error estimate remains valid even for boundary element analysis employing substructures and mixed discretizations with boundary elements and finite elements.
www.uni-stuttgart.de /iv-kib/generic/publik/Holzer/1093/25101993.html   (182 words)

  
 BEM/MRM 28
The 28th International Conference on Boundary Element Methods and other Mesh Reduction Techniques (MRM) took place recently on the Island of Skiathos in Greece, co-chaired by Professor John Katsikadelis from the National Technical University of Athens and Professor Carlos Brebbia of Wessex Institute of Technology, UK.
The first paper at the meeting was a keynote address by Prof John Katsikadelis on the topic “The Meshless analog equation method: a new highly accurate truly mesh-free method for solving partial differential equations” in which he describes an important new development to improve on the Multiquadric functions used in some MRM.
His early interest in integral problems led naturally to his involvement in BEM, a field in which he is recognised as one of the foremost researchers in the world.
www.wessex.ac.uk /conferences/2006/bem28   (961 words)

  
 Amazon.com: The Boundary Element Method, The Boundary Element Method: Books: L. C. Wrobel,M. H. Aliabadi   (Site not responding. Last check: 2007-11-03)
The Boundary Element Method, The Boundary Element Method (Hardcover)
Both volumes reflect the experience of the authors over a period of more than twenty years of boundary element research.
Computational methods for engineering analysis and design have evolved enormously in the last two decades, to a point where they have now become essential simulation tools for increasing accuracy and confidence in the design process, thus reducing the costs associated to prototyping and testing.
www.amazon.com /exec/obidos/tg/detail/-/0470841397?v=glance   (858 words)

  
 Computational Electrochemistry: The Boundary Element Method   (Site not responding. Last check: 2007-11-03)
The boundary element (BE) method is presented as an efficient and powerful method for the analysis of electrochemical processes.
The reduction in dimensionality brought about by the application of BE method for processes is noted, along with the resulting benefits when applied to electrochemical systems.
The versatility and efficiency of the numerical procedures are examined with respect to a number of electrode geometries.
pubs.acs.org /cgi-bin/abstract.cgi/jpcbfk/1998/102/i48/abs/jp982030i.html   (205 words)

  
 Stable Boundary Element Method/Finite Element Method Procedure for Dynamic Fluid–Structure Interactions   (Site not responding. Last check: 2007-11-03)
The stability problem has prevented the application of the boundary element method/finite element method (BEM/FEM) coupling procedure in dynamic fluid–structure interaction problems for the last 2 decades.
The fluid domain is acoustic and modeled by taking advantage of the BEM scheme that is suitable to either finite or infinite domains.
An internal source has been considered in BEM formulations, and no artificial boundary needs to be introduced for the infinite domain.
www.pubs.asce.org /WWWdisplay.cgi?0204123   (208 words)

  
 On the boundary element method for billiards with corners
The boundary element method is one of the reliable numerical schemes to solve the eigenvalue problem of the Helmholtz equation, which is justified by the Fredholm theory for domains with a smooth boundary.
When a domain has corners, however, the corresponding integral equation is singular, so that the boundary element method lacks its well-established base.
Employing a cutoff technique, we here formulate a well-grounded version of the boundary element method, and also give a certain justification to the standard boundary element method even for domains with corners.
stacks.iop.org /0305-4470/38/6675   (286 words)

  
 The Hybrid Galerkin Boundary Element Method - Graham, Hackbusch, Sauter (ResearchIndex)   (Site not responding. Last check: 2007-11-03)
The Hybrid Galerkin Boundary Element Method - Graham, Hackbusch, Sauter (ResearchIndex)
Abstract: In the implementation of boundary element methods for 3D elliptic PDEs in a given geometry there are two main numerical tasks: the stiffness matrix assembly and the solution of the resulting linear systems.
I.G. Graham, W. Hackbusch and S.A. Sauter, The hybrid Galerkin boundary element method, In Proceedings of First UK Conference on Boundary Integral Methods, L. Elliott, D.B. Ingham and D. Lesnic, Eds, Leeds University Press, Leeds, 1997.
citeseer.ist.psu.edu /265147.html   (482 words)

  
 Homepage of Scaled Boundary Finite-Element Method
After the boundary is discretized with surface finite elements, the governing partial differential equations are transformed to ordinary differential equations which are solved analytically.
The resulting semi-analytical solutions represent singularites and unbounded domains accurately and efficiently in contrast to the standard finite-element method.
No fundamental solution as required in the boundary-element method is necessary.
lchwww.epfl.ch /wolfweb   (141 words)

  
 Stéphan T. Grilli Home Page
In many of his research projects, he used the BEM to solve wave modeling and other flow problems, more recently in combination (or coupling) with other numerical methods such as VOF.
He was co-Chairman and editor of the proceedings of BETECH90 (the 5th International Conference on Boundary Element Technology), and has been a regular member of scientific committees of international conference series devoted to boundary elements and computational modeling such as BEM (since 1990), and BETECH (since 1991).
Under ONR funding, in collaboration with Dr. Stepanishen, he developed a BEM model for the underwater acoustic propagation in coastal regions [acoustics].
www.oce.uri.edu /~grilli   (2826 words)

  
 EADS N.V. - Boundary Element Method   (Site not responding. Last check: 2007-11-03)
As in the Finite Element Method (FEM), the model is formed by subdividing the structure into smaller elements, but here only the boundaries are considered :
The BEM advantage in comparison with the FEM is its ease of use : BE meshing is less complicated than FE meshing, and there is no need to mesh again the structure at each step of crack propagation, unlike FE meshing :
Boundary Element : only adding one element at the crack tip to simulate the crack propagation !
www.eads.com /web/content/de/1024/content/OF00000000400003/6/95/478956.html   (128 words)

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