邊界積分法 的英文怎麼說
中文拼音 [biānjièjīfēnfǎ]
邊界積分法
英文
boundary integral method- 邊 : 邊Ⅰ名詞1 (幾何圖形上夾成角的直線或圍成多邊形的線段) side; section 2 (邊緣) edge; margin; oute...
- 界 : 名詞1 (相交的地方; 劃分的界限) boundary 2 (一定的范圍) scope; extent 3 (按職業、工作或性別等...
- 積 : Ⅰ動詞(積累) amass; store up; accumulate Ⅱ形容詞(長時間積累下來的) long standing; long pending...
- 分 : 分Ⅰ名詞1. (成分) component 2. (職責和權利的限度) what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] (料想) judge
- 法 : Ⅰ名詞1 (由國家制定或認可的行為規則的總稱) law 2 (方法; 方式) way; method; mode; means 3 (標...
- 邊界 : boundary; frontier; border; borderline; edge range line; periphery
- 積分 : 1. [數學] integral; integrate; integration 2. [體育] (積累的分數) accumulate points
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The dissertation has been divided into three part : the method of scalar fem for calculating the scattering and coupling character of 2d cavities ; the high efficient algorithm of vector fem for the scattering and coupling character of 3d cavities ; the method of calculate caliber admittance matrix for high efficient algorithm to compute the scattering and coupling character body with open cavities
全文分別研究標量有限元邊界積分求解二維腔體電磁散射與耦合的計算方法,矢量有限元邊界積分求解三維腔體電磁散射與耦合的計算方法,同時針對含腔目標的高效求解問題提出了口徑導納矩陣的新的計算方法,提高了計算效率。An kind of non - singular boundary integralmethod for plane potential problems
平面位勢問題中一種非奇異邊界積分法The radar cross section of grounded open cavities is computed by fem combined with boundary integral equation method. the cavities filled with complex materials are also analyzed. accurate results have been obtained
應用eb - fem結合邊界積分方程對接地腔體的雷達散射面積進行了分析,討論了腔體內復雜介質填充情況對散射特性的影響,得到了比較精確的結果,討論了該混合方法在分析此類問題中的優缺點。Based on the fundamental solution of two perfectly bonded elastic halfspaces, and using the boundary integral equation method and the finite - part integral concepts, the problem is reduced to a hypersingular integral equation in which the unknown function is the crack opening displacement discontinuity
首先根據雙材料空間的彈性力學基本解,使用邊界積分方程方法,在有限部積分的意義下導出了以裂紋面位移間斷為未知函數的超奇異積分方程。This technique combines the edge - based finite - element method with physical optics ( po ) and physical theory of diffraction ( ptd ). the hybrid technique is applied to compute the scattering fields from the electrically large bodies with cracks and cavities on their surfaces. it is also used to analyze the scattering characteristics of microstrip antennas residing in a cavity mounted on metal objects with finite sizes
本文採用edge - basedfem為基本方法,結合物理光學法( po ) 、物理繞射理論( ptd ) 、邊界積分方程( bi ) 、區域分解技術( ddm )和完全匹配層( pml )吸收邊界條件等求解方法構成的混合方法,對電磁散射和輻射問題進行了研究,主要包括以下內容:提出了一種edge - basedfem與物理光學方法和物理繞射理論相結合的混合方法? fem po - ptd方法,並將該混合方法應用於帶有腔體或槽縫的電大尺寸導體目標的電磁散射特性分析和位於有限導體目標上的背腔式微帶貼片天線的電磁散射特性分析。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。The boundary integral equation for elasticity is derived through the general green ’ s formula and the corresponding fundamental solution. the paper represents the contact conditions, which are essential for the coupling of the boundary integral equations of the two different elastic contact bodies, in a local coordinate system properly chosen
利用廣義格林公式和基本解得出彈性問題的邊界積分方程,採用循環迭代的方法,通過尋求與接觸條件相協調的接觸邊界位移及面力增量來確定接觸區域的大小。For the boundary nonlinear problems, such as elastic contact problem, the boundary displacements and boundary tractions are just the basic variables of the boundary integral equation, and the contact conditions can be satisfied with higher accuracy in bem ; therefore, the bem can be applied to solve the elastic contact problem more accurately
對于彈性接觸問題等邊界非線性問題而言,由於邊界位移和邊界面力正是邊界積分方程中的基本未知量,邊界元法能以更高精度滿足接觸條件,因此,邊界元法能更精確地求解彈性接觸問題。The mechanical quadrature methods and their splitting exprapolations for first - kind boundary integral equations on polygonal regions
曲邊多角形域上第一類邊界積分方程的機械求積演算法與分裂外推Then the solving procedures of these bies by the rwg functions based moment method are elaborated, and the method of modeling complex objects built of arbitrary line, surface and volume structures is developed. in order to solve realize antenna and circuit problems, methods of adding excitations and concentrated loadings with moment method are deceloped, and matrix pencil ( mp ) method is used to deembeded the s prameters of antennas and circuits from the computed current distribution. some numerical results of practical complex antenna and scattering problems are presented to illustrate the veracity and effectiveness of the method
在第一部分中,首先從電磁場的基本理論出發,基於等效原理和邊界條件以統一的方法建立了用於分析金屬、介質及金屬與介質混合結構的邊界積分方程,並歸納和比較了各類積分的適用范圍和優缺點;在此基礎上,給出了使用基於rwg函數的矩量法求解各種邊界積分方程的一般過程;研究了具有任意線、面、體組成的復雜結構的電磁建模方法,並給出了各種多面連接情況下基函數和未知量的選取方法;研究了使用矩量法分析電路、天線問題時集總元件和激勵源的處理方法,並基於矩陣束方法( matrixpencilmethod )提取了電路和天線問題的s參數;最後通過分析一些工程中的復雜金屬天線問題和具有「金屬與介質混合結構」的散射和天線問題驗證了方法的準確性和高效性。By comparison, it was clear that the bem could solve the problem not only effectively but also precisely. in the second chapter the theory of weighted residual technique is illustrated and the boundary integral function of the potential problem is deduced by it. methods of obtaining green ' s function fundamental solutions in infinite region and semi - infinite region are presented
第二章首先說明了加權余量法的原理,並由此推出了勢問題的邊界積分方程,還介紹了無限域和半無限域中格林函數基本解的求法,以及多介質域和第三類邊界條件的處理方法,最後說明了邊界積分方程的數值解法。A electron trace modeling program, vbgun has been programmed using fortarn language. the work and novelty of this thesis includes the several aspect following. 1. particularly investigated the mathematic model of boundary integrating equation method and the constructing of matrix equations, including dispersing boundaries, compartmentalizing grids, voltage calculating and reserving
本論文的主要工作和創新性體現在以下幾個方面: 1 .詳細討論了邊界積分方程法計算電磁場的數學模型和矩陣積分方程組的建立方法,對邊界的離散、網格的劃分、電位的計算和貯存等過程分別進行了討論。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。A new algorithm for solving boundary integral equations of diffusion equations
擴散問題邊界積分方程的一類新演算法Boundary integral method
邊界積分法Boundary integral method for thick rectangular plants under concentration bending moment
厚矩形板在集中力矩作用下的邊界積分法Application of hybrid finite element method / boundary integral method ( fem / bi ) to em scattering problems is studied in this paper
本文將有限元( fem )邊界積分方程( bi )混合方法應用於電磁散射問題。Local boundary integral equation method ( lbie ) developed recently is a new efficient and flexible numerical method
無網格局部邊界積分方程方法是一種近期發展起來的數值方法。Based on the analysis of previous work in detail, a scheme of a - posteriori error estimation is introduced into the local boundary integral equation method ( lbiem ), which is constructed with the difference between the raw solutions of lbiem and the post - processing solutions with taylor expansion and moving least square approximation ( mlsa )
通過對無網格演算法在誤差估計方面的工作分析,根據原始解和后處理解的不同,將一種誤差佑計的方案引入到局部邊界積分方程方法中,其中后處理解採用泰勒展開和移動最小二乘近似得到。The technique is employed to analyze the electromagnetic scattering characteristics of anisotropic dielectric - filled apertures in grounded plane. the obtained results show that the proposed technique is accurate and efficient
本文應用矢量有限元?邊界積分法分析了無窮大接地平面上的各向異性介質填充縫隙的電磁散射特性,數值結果表明這種方法是有效的。分享友人