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| 有限要素解析× | 境界要素法× | |
|---|---|---|
| 分野 | 材料科学 | 材料科学 |
| 系統 | Process / pipeline | Process / pipeline |
| 提唱年≠ | 1943 | 1978 |
| 提唱者≠ | Richard Courant | Carlos Brebbia |
| 種類 | Computational method | Computational method |
| 原典≠ | Zienkiewicz, O. C., & Taylor, R. L. (1977). The Finite Element Method in Engineering Science. McGraw-Hill. link ↗ | Brebbia, C. A. (1978). The Boundary Element Method for Engineers. Pentech Press. link ↗ |
| 別名 | FEA, finite element method | BEM, boundary integral equation method |
| 関連≠ | 4 | 3 |
| 概要≠ | Finite Element Analysis (FEA) is a numerical technique for obtaining approximate solutions to boundary value problems described by differential equations. Developed systematically by Richard Courant in 1943 and popularized by Clough in the 1960s, FEA divides a complex domain into smaller, simpler elements to solve engineering problems involving stress, strain, heat transfer, and fluid flow. It is the dominant computational method in materials science for predicting material behavior under various loading conditions. | The Boundary Element Method (BEM) is a numerical technique that solves partial differential equations by transforming them into boundary integral equations, requiring discretization only of the problem boundary rather than the entire domain. Developed systematically by Carlos Brebbia in the late 1970s, BEM offers significant advantages for infinite or semi-infinite domains, stress concentration analysis, and problems with high aspect ratios. It is especially valuable in geotechnical engineering, acoustics, and materials characterization. |
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