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, 1998 Some of the next articles are maybe not open access.
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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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2002
The finite-difference approach with equidistant grids is easy to understand and straightforward to implement. The resulting uniform rectangular grids are comfortable, but in many applications not flexible enough. Steep gradients of the solution require a finer grid such that the difference quotients provide good approximations of the differentials.
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The finite-difference approach with equidistant grids is easy to understand and straightforward to implement. The resulting uniform rectangular grids are comfortable, but in many applications not flexible enough. Steep gradients of the solution require a finer grid such that the difference quotients provide good approximations of the differentials.
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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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1991
The approximate methods presented at the end of the preceding chapter for the solution of the vibration problems of continuous systems are based on the assumption that the shape of the deformation of the continuous system can be described by a set of assumed functions. By using this approach, the vibration of the continuous system which has an infinite
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The approximate methods presented at the end of the preceding chapter for the solution of the vibration problems of continuous systems are based on the assumption that the shape of the deformation of the continuous system can be described by a set of assumed functions. By using this approach, the vibration of the continuous system which has an infinite
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