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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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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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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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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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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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Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2022
J. Kůdela, R. Matousek
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J. Kůdela, R. Matousek
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A PSE for Finite Element Method [PDF]
Journal of Convergence Information Technology, 2010 Koichi Shimizu +2 more
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2012
Apart from the finite difference method, the numerical calculus has developed other numerical methods for the integration of the differential equations, with the help of the advanced computing devices. The finite element method (FEM) is one of the most promising methods, which has been successfully applied to many engineering problems.
Marcello Benedini, George Tsakiris
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Apart from the finite difference method, the numerical calculus has developed other numerical methods for the integration of the differential equations, with the help of the advanced computing devices. The finite element method (FEM) is one of the most promising methods, which has been successfully applied to many engineering problems.
Marcello Benedini, George Tsakiris
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