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Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Partial Differential Equations (G.1.8) > Finite Element Methods (G.1.8...)
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1-10 of 71
Reviews about "Finite Element Methods (G.1.8...)":
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Optimizations for quadrature representations of finite element tensors through automated code generation
Ølgaard K., Wells G. ACM Transactions on Mathematical Software 37(1): 1-23, 2010. Type: Article
There are various techniques to numerically solve differential equations: finite differences, finite elements, finite volume, spectral elements, and more. This paper deals with finite element approximation....
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May 24 2010 |
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 Total FETI based algorithm for contact problems with additional non-linearities
Dobiáš J., Pták S., Dostál Z., Vondrák V. Advances in Engineering Software 41(1): 46-51, 2010. Type: Article
The finite element tearing and interconnecting (FETI) method [1] is a well-established algorithm for the numerical solution of partial differential equations on distributed memory parallel computers. It is based on tearing the original domain...
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Jan 25 2010 |
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A numerical model for the description of the nonlinear behaviour of multi-leaf masonry walls
Ramalho M., Taliercio A., Anzani A., Binda L., Papa E. Advances in Engineering Software 39(4): 249-257, 2008. Type: Article
Historical monuments dating back to the Roman era are often made of multiple-leaf stone walls. A wall is made of three leaves, where the middle leaf is made of irregularly shaped stones and mortar joints, interlocking the other leaves, which are...
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Sep 15 2008 |
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Hybrid multigrid/Schwarz algorithms for the spectral element method
Lottes J., Fischer P. Journal of Scientific Computing 24(1): 613-646, 2005. Type: Article
The spectral element method is one of the major numerical methods in fluid mechanics. To apply this method, it is crucial to have an efficient iterative solver. The authors of this paper examine some existing algorithms, and introduce a new type...
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Apr 20 2006 |
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Optimum design of an interbody implant for lumbar spine fixation
Tovar A., Gano S., Mason J., Renaud J. Advances in Engineering Software 36(9): 634-642, 2005. Type: Article
The high failure rate of lumbar fusion in over 500,000 annual spine surgeries in the US calls for superior, minimally invasive surgical procedures involving interbody implants for lumbar spine repair. Interbody fusion implants (IFIs) have two...
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Jan 30 2006 |
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Implementation of hierarchical bases in FEMLAB for simplicial elements
Xin J., Pinchedez K., Flaherty J. ACM Transactions on Mathematical Software 31(2): 187-200, 2005. Type: Article
Hierarchical shape function bases are essential for the efficiency of p-version refinement, in which the polynomial order is increased to improve the accuracy. A good basis should not result in stiffness matrices with large...
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Sep 14 2005 |
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A triangular finite element for sequential limit analysis of shells
Corradi L., Panzeri N. Advances in Engineering Software 35(10-11): 633-643, 2004. Type: Article
Corradi and Panzeri discuss a sequential limit analysis procedure. This procedure is applied in a study of the post-collapse responses of shell structures. The proposed procedure is based on the use of finite elements. Elastic strains are...
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Apr 14 2005 |
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Construction of local boundary conditions for an eigenvalue problem using micro-local analysis: application to optical waveguide problems
Barucq H., Bekkey C., Djellouli R. Journal of Computational Physics 193(2): 666-696, 2004. Type: Article, Reviews: (2 of 2)
The authors present a general procedure, based on the pseudo-differential calculus, for deriving artificial boundary conditions for an eigenvalue problem that characterizes the propagation of guided modes in optical waveguides....
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Jun 9 2004 |
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The construction of wavelet finite element and its application
Chen X., Yang S., Ma J., He Z. Finite Elements in Analysis and Design 40(5-6): 541-554, 2004. Type: Article
In this study, the authors constructed a two-dimensional wavelet finite element (WFE) based on using scaling functions of Daubechies wavelets as trial functions....
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May 13 2004 |
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Construction of local boundary conditions for an eigenvalue problem using micro-local analysis: application to optical waveguide problems
Barucq H., Bekkey C., Djellouli R. Journal of Computational Physics 193(2): 666-696, 2004. Type: Article, Reviews: (1 of 2)
Under the weak guiding assumption, the propagating modes of a cylindrical dielectric waveguide are the eigensolutions of a scalar partial differential equation (PDE) in the plane &RR;2. Discretizing this problem requires a finite...
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Apr 29 2004 |
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