邊界元法的意思、翻譯和例句

是什麼意思

「邊界元法」是一種數值方法,主要用於求解邊界值問題,特別是在工程和物理學中。它通過將問題的邊界轉化為一個更簡單的形式,使得只需要在邊界上進行計算,而不是在整個區域內進行計算。這種方法特別適合於無限或半無限域的問題,因為它能夠有效地處理邊界條件。邊界元法的主要優勢在於能夠減少計算量和提高計算精度。

依照不同程度的英文解釋

  1. A method used to solve problems around edges.
  2. A way to find answers at the borders of shapes.
  3. A technique for solving problems with limits.
  4. A numerical method to address boundary issues.
  5. A mathematical approach focusing on the edges of a domain.
  6. A computational technique for boundary value problems.
  7. An efficient method for solving problems defined by their boundaries.
  8. A strategy to simplify complex problems by focusing on their boundaries.
  9. A numerical analysis technique that reduces dimensionality by addressing boundary conditions.
  10. A specialized method for solving differential equations with specified conditions at the boundaries.

相關英文單字或片語的差別與用法

1:Boundary Element Method

用法:

這是邊界元法的全名,通常在數學和工程領域使用。這種方法能夠有效地解決涉及邊界條件的問題,特別是在結構分析和流體力學中。

例句及翻譯:

例句 1:

邊界元法在結構分析中被廣泛應用。

The boundary element method is widely used in structural analysis.

例句 2:

這個問題可以通過邊界元法來解決。

This problem can be solved using the boundary element method.

例句 3:

研究人員使用邊界元法來模擬流體流動。

Researchers used the boundary element method to simulate fluid flow.

2:BEM

用法:

這是邊界元法的縮寫,通常在專業文獻中使用。它是計算科學中的一種重要技術。

例句及翻譯:

例句 1:

BEM 在數值模擬中非常有效。

BEM is very effective in numerical simulations.

例句 2:

許多工程師使用 BEM 來解決複雜的邊界問題。

Many engineers use BEM to solve complex boundary problems.

例句 3:

BEM 方法在計算流體力學中得到了廣泛應用。

The BEM method has been widely applied in computational fluid dynamics.

3:Boundary Value Method

用法:

這是一種更廣泛的術語,涵蓋了所有涉及邊界條件的數值方法。邊界元法是其中的一種。

例句及翻譯:

例句 1:

邊界值法在數學物理中非常重要。

The boundary value method is very important in mathematical physics.

例句 2:

我們需要選擇合適的邊界值法來解決這個問題。

We need to choose the appropriate boundary value method to solve this problem.

例句 3:

這個研究專注於邊界值法的應用。

This study focuses on the applications of boundary value methods.