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Preconditioning Complicated Finite Elements by Simple Finite Elements
SIAM Journal on Scientific Computing, 1996We discuss a method of preconditioning finite elements with a large number of degrees of freedom by simpler finite elements.
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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, 1973Justification of the method proposed in the first part of the paper is completed.
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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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Finite Differences and Finite Elements
2011In the preceding chapters, we have described the numerical solution techniques most commonly applied in ocean-acoustic propagation modeling. One or more of these approaches are numerically efficient for the majority of forward problems occurring in underwater acoustics, including propagation over very long ranges, with or without lateral variations in ...
Finn B. Jensen +3 more
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Finite Element Program Generator and Finite Element Language
1991Until now, although there are many finite element program systems running on various computers, the scientists and engineers who are familiar with finite element methods feel strongly that the finite element program system so far provided is very difficult to use.
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Finite elements, an introduction
Computer Methods in Applied Mechanics and Engineering, 1981openaire +1 more source