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L’elaboració d’un producte es pot dur a terme per mitjà del mètode d’assaig, realitzant prototips físics, assajant-los i fent millores iteratives fins a aconseguir el producte desitjat; aquest mètode té un elevat cost econòmic i en temps de ...
Valldeoriola Palomo, Sergi
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El mètode dels elements finits en la docència: estat de la qüestió i revisió pedagògica
En aquest projecte es valora una possible actualització a l’ANSYS Workbench d’aquelles assignatures impartides a l’Escola Tècnica Superior d’Enginyeria Industrial de Barcelona on s’utilitza el mètode dels elements finits i l’ANSYS APDL i se’n facilita la
Martí De La Encarnación, Pol
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Proceedings of IEEE-SP International Symposium on Time- Frequency and Time-Scale Analysis, 1995
Finite elements with support on two intervals span the space of piecewise polynomials with degree 2n-1 and n-1 continuous derivatives. Function values and n-1 derivatives at each mesh-point determine these "Hermite finite elements". The n basis functions satisfy a dilation equation with n by n matrix coefficients. Orthogonal to this scaling subspace is
V. Strela, G. Strang
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Finite elements with support on two intervals span the space of piecewise polynomials with degree 2n-1 and n-1 continuous derivatives. Function values and n-1 derivatives at each mesh-point determine these "Hermite finite elements". The n basis functions satisfy a dilation equation with n by n matrix coefficients. Orthogonal to this scaling subspace is
V. Strela, G. Strang
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Finite element formulation of the finite rotation solid element
Finite Elements in Analysis and Design, 1995The paper describes the development of an 8-node solid finite element capable of undergoing both large displacements and large rotations. The constitutive law chosen is for an elastic material. The element is developed on a sound variational basis. The incompatible modes are employed to produce a ‘ locking’ free performance.
Kožar, Ivica, Ibrahimbegović, Adnan
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Probabilistic finite element analysis of a craniofacial finite element model
Journal of Theoretical Biology, 2012We employed a probabilistic finite element analysis (FEA) method to determine how variability in material property values affects stress and strain values in a finite model of a Macaca fascicularis cranium. The material behavior of cortical bone varied in three ways: isotropic homogeneous, isotropic non-homogeneous, and orthotropic non-homogeneous. The
Berthaume, Michael A. +6 more
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Preconditioning Complicated Finite Elements by Simple Finite Elements
SIAM Journal on Scientific Computing, 1996A very subtle and useful method of preconditioning finite elements with a large number of degrees of freedom by simpler finite elements is proposed. A second-order problem (Laplace equation) and a fourth-order problem (biharmonic equation) are considered as examples.
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SIAM Journal on Numerical Analysis, 1972
This paper considers matrices arising from the use of finite element techniques in least-squares approximation and in elliptic partial differential equations; it studies their properties of numerical stability, and in particular, it establishes bounds for their inverses with respect to the uniform norm.
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This paper considers matrices arising from the use of finite element techniques in least-squares approximation and in elliptic partial differential equations; it studies their properties of numerical stability, and in particular, it establishes bounds for their inverses with respect to the uniform norm.
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Curved Elements in the Finite Element Method. II
SIAM Journal on Numerical Analysis, 1973Curved elements, introduced by the author in [13] and [14], which are suitable for solving boundary value problems of the second order in plane domains with an arbitrary boundary are discussed. An approximation theorem is proved, the Dirichlet problem for a ${\mathop W\limits^{\circ}} _2^{(1)} $-elliptic equation is considered as a model problem and ...
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