Conforming finite element methods for the clamped plate problem [PDF]
, 1975 Finite element methods for solving biharmonic boundary value problems are considered. The particular problem discussed is that of a clamped thin plate. This problem is reformulated in a weak, form in the Sobolev space Techniques for setting up conforming
Whiteman, J R, J. R. Whiteman
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DOLFIN: Automated Finite Element Computing [PDF]
, 2009 We describe here a library aimed at automating the solution of partial differential equations using the finite element method. By employing novel techniques for automated code generation, the library combines a high level of expressiveness with efficient
Wells, G.N., Logg, Anders,, Logg, Anders
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Langrangian finite element and finite difference methods for poisson problems [PDF]
, 1974 The use of Lagrangian finite element methods for solving a Poisson problem produces systems of linear equations, the global stiffness equations. The components of the vectors which are the solutions of these systems are approximations to the exact ...
Whiteman, J R
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Vehicle-bridge dynamic interaction using finite element modelling [PDF]
, 2010 First investigations on the dynamic response of bridges due to moving loads were motivated by the collapse of the Chester railway bridge in the UK in the middle of the 19th century.
Arturo Gonzalez, González, Arturo
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Solution of Large Stochastic Finite Element Problems – Application to ECT-NDT [PDF]
, 2013 Version éditeur disponible à cette adresse : http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6514633This paper describes an efficient bloc iterative solver for the Spectral Stochastic Finite Element Method (SSFEM). The SSFEM was widely used to
MOREAU, Olivier +3 more
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On the Equivalence of Finite Element and Finite Integration Formulations [PDF]
IEEE Transactions on Magnetics, 2010 The paper offers a comparative study of numerical methods of analysis of electromagnetic fields. The focus is on the finite element method (FEM) and finite integration technique (FIT), but with the cell and equivalent network approaches also considered.
Demenko, A. +2 more
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Merging enriched Finite Element triangle meshes for fast prototyping of alternate solutions in the context of industrial maintenance [PDF]
, 2010 A new approach to the merging of Finite Element (FE) triangle meshes is proposed. Not only it takes into account the geometric aspects, but it also considers the way the semantic information possibly associated to the groups of entities (nodes, faces ...
PERNOT, Jean-Philippe +3 more
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Direct modification of semanticaly-enriched finite element meshes [PDF]
, 2010 Behaviour analysis loop is largely performed on virtual product model before its physical manufacturing. The last avoids high expenses in terms of money and time spent on intermediate manufacturing.
PERNOT, Jean-Philippe +13 more
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The Serendipity Family of Finite Elements [PDF]
Foundations of Computational Mathematics, 2011 We give a new, simple, dimension-independent definition of the serendipity finite element family. The shape functions are the span of all monomials which are linear in at least s-r of the variables where s is the degree of the monomial or, equivalently, whose superlinear degree (total degree with respect to variables entering at least quadratically) is
Douglas N. Arnold, Gerard Awanou
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A higher order control volume based finite element method to prodict the deformation of heterogeneous materials [PDF]
, 2013 Materials with obvious internal structure can exhibit behaviour, under loading, that cannot be described by classical elasticity. It is therefore important to develop computational tools incorporating appropriate constitutive theories that can capture ...
Wheel, Marcus +2 more
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