bie boundary integral equation 中文意思是什麼

bie boundary integral equation 解釋
邊界積分方程
  • bie : 比耶
  • boundary : n 邊界,疆界,限界 (between);(球場)邊線;界標;界限,范圍,分野。 aboundary dispute 邊界糾紛...
  • integral : adj 1 完全的;缺一不可的,主要的。2 【數學】整的,積分的。n 全體,整體;【數學】積分。 definite i...
  • equation : n. 1. 平衡,均衡;平均,相等。2. 【數學】方程式,等式。3. 【天文學】(時)差;均分,等分。4. 【化學】反應式。
  1. In this dissertation, the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory, method and the application technique, based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem. the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced, based on the wave propagation theorem ; the arising of the non - unique solutions, which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem, is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples

    第二章在聲波動理論基礎上,詳細地推導出對應于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式;根據fredholm積分理論,對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產生進行了分析和證明;改進了chief法以提高其克服解的非唯一性的有效性和可靠性;對不同條件下奇性系數的計算、強奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數值求積分等進行了研究;開發了三次樣條改進chief法計算軟體,並通過算例考核了該方法在特徵波數處克服解的非唯一性的有效性和在保證計算精度的前提下實現剖分粗化以提高計算效率的可行性。
  2. For these proposes, we chose electromagnetic boundary integral equation ( bie ) theory as the theoretical foundation, method of moments ( mom ) as numerical process and the multilevel fast multipole algorithm ( mlfma ) to accelerate the solving process and reduce memory requirement

    為此,我們選擇了電磁場邊界積分方程( bie )理論作為理論基礎,以矩量法( mom )作為數值求解方法,並使用多層快速多極演算法( mlfma )來加速求解過程和降低存儲需求。
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