V2EX finite-element

Finite-Element

定义 Definition

“有限元的;有限元法的”(finite-element)指与有限元方法(Finite Element Method, FEM)相关的建模与计算:把连续结构或物理场(如位移、温度、压力)离散成许多小“单元”(elements),用数值方法近似求解工程与物理问题。

发音 Pronunciation (IPA)

/fanat elmnt/

例句 Examples

Finite-element models are widely used in engineering.
有限元模型在工程中被广泛使用。

The team used a finite-element analysis to predict how the bridge would deform under changing loads, and then refined the mesh near critical joints for better accuracy.
团队使用有限元分析来预测桥梁在变化荷载下的变形,并在关键连接处加密网格以提高精度。

词源 Etymology

finite 来自拉丁语 finītus(“有限的”),element 来自拉丁语 elementum(“基本成分/要素”)。在工程计算语境中,“finite element(有限元)”强调把连续体分解成有限数量的基本单元来近似求解,作为一种数值离散思想在 20 世纪中期逐步成熟并普及。

相关词 Related Words

文学与著作 Literary Works

  • O. C. Zienkiewicz & R. L. Taylor, The Finite Element Method
  • K. J. Bathe, Finite Element Procedures
  • T. J. R. Hughes, The Finite Element Method: Linear Static and Dynamic Finite Element Analysis
  • J. N. Reddy, An Introduction to the Finite Element Method
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