ERRORS DUE TO SPATIAL DISCRETIZATION AND NUMERICAL PRECISION IN THE FINITE-ELEMENT METHOD

被引：12
|
作者：
SCOTT, WR
机构：
[1] School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta
来源：
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 1994年 / 42卷 / 11期
关键词：
D O I：
10.1109/8.362777
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The effects of the spatial discretization and the numerical precision on a plane wave propagating through a finite-element mesh are investigated in this work. The spatial discretization results in dispersion in the amplitude and the phase of the wave and in a non-uniform rate of convergence within an element. The finite precision in the calculations used in a finite-element code results in degraded accuracy. These errors are investigated as a function of the node density, the order of the elements, and the precision of the calculations used in the finite element code. The errors for first- through eighth-order elements are investigated both analytically and numerically.
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页码：1565 / 1570
页数：6
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