exterior boundary problem 中文意思是什麼
exterior boundary problem
解釋
外邊界問題-
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。 -
Secondly, we study the asymptotic behavior of the global spherically symmetric smooth solutions to the initial boundary value problem for the multidimensional model for semiconductors in the exterior domain, i. e., we prove that the solution of the problem converges to a stationary solution time asymptotically exponentially fast. this result was published in the journal of henan university ( natural science, 4 ( 2003 ) )
其次，研究在外部區域上的高維流體動力模型初邊值問題:證明了該問題的解依指數形式收斂到對應穩態問題的解，這一結果已發表在河南大學學報（自然科學版） 2003年第四期上。 -
In this paper, we study the numerical solutions of these problems using galerkin boundary element, especially for the problem with open boundary such as the problems exterior to an open segment or an open curve in the plane. since the equivalent boundary integral equation for two dimensional laplace equation has constraint condition
因為把二維調和方程的邊值問題轉化為等價的邊界積分方程時帶有約束條件，用galerkin邊界元方法求解帶約束條件的變分方程，在數值離散時，我們採用lagrange乘子法處理約束條件。
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