Finite element method with optimal nodal velocity (Q1098251)
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scientific article; zbMATH DE number 4037097
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite element method with optimal nodal velocity |
scientific article; zbMATH DE number 4037097 |
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Finite element method with optimal nodal velocity (English)
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1987
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The finite element method FEMALE of the author, \textit{M. Aizawa}, \textit{K. Harada} and \textit{H. Saito} [J. Phys. Soc. Japan 54, 544 (1985)] is outlined. Accuracy is much improved when the velocity of a finite element is equal to that of a local nonlinear wave. In this paper we give a proof of the improvement of accuracy for the discretized equations. The need for node annihilation is discussed for a hyperbolic system of equations and a restructuring algorithm of finite elements is proposed.
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optimal nodal velocity
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FEMALE
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nonlinear wave
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shock wave
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hyperbolic system of conservative form
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parabolic system
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finite element method
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improvement of accuracy
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