Results 281 to 290 of about 327,876 (316)
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SIAM Review, 1976
The purpose of this paper is to show how Lagrange multipliers can be used with finite elements to achieve a number of desirable properties in the underlying approximation. For elliptic boundary value problems, variational principles can be developed in which all boundary conditions are natural.
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The purpose of this paper is to show how Lagrange multipliers can be used with finite elements to achieve a number of desirable properties in the underlying approximation. For elliptic boundary value problems, variational principles can be developed in which all boundary conditions are natural.
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Nonconforming Elements in the Finite Element Method with Penalty
SIAM Journal on Numerical Analysis, 1973Summary: A penalty method approach is used for achieving convergence of a finite element method using nonconforming elements. Error estimates are given.
Babuška, Ivo, Zlámal, Milos
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The construction of large element in finite element method
Applied Mathematics and Mechanics, 1983In the usual finite element method, the order of the interpolation in an element is kept unchanged, and the accuracy is raised by subdividing the grid denser and denser. Alternatively, in the large element method, the grid is kept unchanged, and the terms of approximate series in the element are increased to raise the accuracy.
Liang, Guo-ping, Fu, Zi-zhi
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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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An Intrinsically Parallel Finite Element Method
Journal of Scientific Computing, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Susanne C. Brenner +3 more
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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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Introduction to the finite element method
2017 IEEE International Symposium on Electromagnetic Compatibility & Signal/Power Integrity (EMCSI), 2017A brief presentation on how to solve using the finite element method and the application of the method to microstrip problem are discussed.
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Finite-difference and finite-element methods of approximation
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1971Abstract The finite-difference and finite-element methods for approximating the solution of elliptic boundary-value problems are discussed. The analysis of the order of accuracy is outlined, and the results compared, with some comment on special problems connected with singularities.
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Boundary Concentrated Finite Element Methods
SIAM Journal on Numerical Analysis, 2003A numerical solution method is presented for elliptic problems with low global Sobolev regularity, when the latter is due to rough boundary data or geometries but the solution has interior regularity. The proposed method is a kind of \(hp\)-finite element method that concentrates most degrees of freedom near the boundary.
Boris N. Khoromskij, Jens Markus Melenk
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Postprocessing the Linear Finite Element Method
SIAM Journal on Numerical Analysis, 2002The authors extend the postprocessing Galerkin method for dissipative evolution equations to the case of the linear finite element method. Nonlinear parabolic equations of convection-diffusion type and reaction-diffusion type are considered. It is proved that the postprocessing technique applied to the linear finite element method improves the rate of ...
Javier de Frutos, Julia Novo
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