boundary integral equation method 中文意思是什麼
boundary integral equation method
解釋
邊界積分方程法-
First, in virtual of identification of flaws is a typical of in - verse problems, proceeding from time - harmonic electromagnetic maxwell ' s equa - tion and helmholtz equation, the uniqueness and existence of direct scattering problems including the numerical algorithms of diverse of boundary conditions is given. second, the uniqueness and existence of inverse scattering problems and the theory of ill - posed integral equation are briefly looked back upon. finally, indicator function method for boundary identification is set up under all kinds of boundary conditions for inverse scattering of homogenous and inhomogenous objects, meanwhile, the proof of possibility for near - field measurements and nu - merical simulation are given
由於缺陷的識別是一類典型的反問題，因而首先從時諧電磁maxwell方程和helmholz方程出發，具體地闡述了求解正散射問題的有關方法，包括各種（夾雜）邊界條件下的數值解法，就解的存在性唯一性給予了肯定的回答；隨后對逆散射問題的理論作了簡短的回顧，包括解的唯一性以及非線性不適定積分方程的處理等；然後對均勻介質和非均勻介質的逆散射問題建立了在各種邊界條件下的邊界識別的指示函數方法，鑒于近場數據獲得的重要性，對近場測試時邊界識別的方法給予了相應的證明，並且實現了數值模擬。 -
From mathematical models for inverse scattering in two dimensional inho - mogenous media including variable impedance, all kinds of probable mixed variable impedance boundaries and cracks, from interior and exterior trans - mission problems and radiation condition, ill - posed integral equation and indicator function method are formulated for the diverse of boundary iden - tification. it is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solving it by virtual of regularity method, meanwhile, some numerical tests are given. 3
在二維非均勻介質逆散射邊界識別的數學模型（包括一般的非均勻介質，正交各向異性介質，變阻抗介質，各種可能的混合變阻抗邊界問題）下，由內透射問題和外透射問題以及輻射條件，推導了上述介質的邊界識別的積分方程和指示函數方法，由於積分方程的核充分表徵了散射物的邊界，由此說明只要利用正則化方法求解該積分方程，就可以確定散射物的邊界。 -
From mathematical models for inverse scattering in two dimensional homoge - nous media including dirichlet, neumann, robin, all kinds of probable mixed boundaries and cracks, direct and inverse scattering are discussed, and ill - posed integral equation and indicator function method are formulated for the diverse of boundary identification. it is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solv - ing it by virtual of regularity method, meanwhile, some numerical tests are given. 2
在二維均勻介質逆散射各種邊界識別的數學模型（包括dirichlet ， neumann ， robin ，各種可能的混合邊界問題，裂紋問題）下，分別考慮了正散射問題和逆散射問題，推導了上述各種邊界識別的不適定積分方程以及指示函數方法，由於積分方程的核充分表徵了散射物的邊界，由此說明只要利用正則化方法求解該積分方程，就可以確定散射物的邊界，並給出了一些數值實驗。 -
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。 -
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。 -
A new analytical method for the plane elastic or thermoelastic problem on complex multiply connected region based upon the complex potential theory of elastic mechanics built by muskhelishvili. n. i. by combining the theory of sectionally holomorphic function, cauchy model integral, the analysis of the singularity of complex function and riemann boundary problem, the analysis relation between the complex potentials is obtained, and then the problem is transformed into solving an elementary complex potentials equation
I彈性力學復勢理論的基礎上提出一種處理復雜多連通域平面彈性與熱彈性問題新的分析方法，將復變函數的分區全純函數理論，復勢奇性分析， riemann邊值問題與cauchy型積分相結合，求得各分區復勢的解析關系，將問題歸結為一個初等復勢函數方程的求解。 -
Abstract : this paper discusses high order numerical model of non - linear boundary equation. by using integral technique, the boundary condition problem is turned into a form initial condition problem. we construct 4 order numerical formula. the convergence theory is given and proved. the examples show that our method has fast convergence speed and less numerical time
文摘:討論非線性邊值問題的一種高精度計算模型.利用積分值將邊值問題轉化為形式初值問題，構造了一類四階精度的計算格式，證明了收斂性.通過算例表明該方法收斂速度高，計算量小 -
In fegm, the shape function is constructed by the moving least square ( mls ) approximation, the weak form of the equivalent integral equation to the governing equation is employed and essential boundary conditions are imposed by the penalty function method
它採用移動最小二乘法構造形函數，利用能量泛函的弱變分形式的積分方程，並用罰函數法施加本質邊界條件，從而得到積分方程的數值解。 -
A nonlinear numerical model for wave transformation is established in time domain based on integral equation transformed from two dimensional laplace equation. then the model is applied to compute the linear wave and nonlinear wave deformation in offshore flow field. a new 0 - 1 combined bem ( boundary element method ) is adopted in this thesis to avoid computational errors accumulated with time steps
本文以波動勢函數的laplace方程的green積分轉換得到的邊界積分方程為基本控制方程，建立了一種新的時域內波浪變形計算的數值模型，籍此對非線性波浪在結構物周圍的波浪形態進行了數值模擬，並通過數值造波水槽內的波浪試驗對數值模擬結果進行檢驗。 -
The moment method is used to calculate the rcs of three - dimensional targets in this paper. these targets include conducting targets, dielectric targets and coat targets. triangular patches are used to model the surface of the target, then electric field integral equation ( efie ) and magnetic field integral equation ( mfie ) are built which satisfy the boundary conditions. the rwg vector base functions are used to denote equivalent electric current and magnetic current on the surface of the target. finally use the galerkin method ( rwg vector base functions are basis function and test function ) to transform integral equations into matrix equation. when obtain the equivalent electric current and magnetic current, we can calculate the scattering field and the rcs of the target
本文利用矩量法計算了三維導體目標、介質目標、塗層目標的雷達散射截面。首先採用三角形面元對物體表面幾何形狀進行模擬，然後建立滿足邊界條件的電場積分方程（ efie ）和磁場積分方程（ mfie ） ，將物體表面的等效電磁流用rwg矢量基函數表示，最後利用伽略金法（ rwg矢量基函數既作為基函數又作為檢驗函數）將電磁場積分方程轉化為矩陣方程求解未知電磁流系數，得到了表面的等效電磁流后，可以計算散射場和目標的雷達散射截面。 -
The condition under which the dirac operator is self - adjoint is discussed under the general linear boundary condition between the interval of two points. for the expansion theorem of non - self - adjoint dirac operator, it is unable to use the method of integral equation. but under the linear boundary condition and unlocal boundary condition, the eigenvalue expansion problems of non - self - adjoint operator can still be discussed by using the residue method
對于非自伴dirac運算元的特徵展開定理已無法應用積分方程的方法，本文仍用留數方法對一個兩點非自伴邊界條件和一個非局部邊界條件下產生的非自伴運算元的特徵展開問題進行了討論，分別得到了它們的特徵展開定理。 -
Applying variational method we analyze the existence and uniqueness for the solution of the corresponding boundary variational equation, truncated mrm boundary variational equation, and approximation truncated mrm boundary variational equation in detailed. we obtain the error estimation for various approximation solutions and construct the boundary integral method with constraint. we explain the principle for choosing the mesh size and the truncated number in mrm. finally the numerical examples show that the theoretical analysis is accord with the numerical experiment result
採用變分方法系統分析了相應問題的邊界變分方程，截斷的mrm邊界變分方程與近似截斷mrm邊界變分方程解的存在唯一性，解釋了網格寬度與mrm方法中截斷數的選取原則，討論了mrm方法中的迭代誤差估計，給出了數值算例。 -
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 boundary integral equation method, the system equation of contact problems, including contact conditions, is established
利用邊界積分方程，結合接觸條件，形成接觸問題的系統方程。 -
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。 -
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。 -
In this paper, the boundary problem of laplace equation is changed into the variational equation which is equivalent to the boundary integral equation. using linear element, it is solved by galerkin boundary element method
本文把laplace方程的邊值問題轉化為邊界積分方程后，通過與邊界積分方程等價的變分形式，採用線性單元，利用galerkin邊界元方法求解。 -
In this paper, firstly we present some results about of conventional bem, and multiple reciprocity method ( mrm ) for solving dynamics response of viscoelastic thin plate is given the whole plane expression and boundary integral equation for mrm, next we prove that the solution of the boundary integral equation obtained by mrm is the same as the one derived from the conventional fundamental solution of boundary value problem
本文首先給出了常規邊界元方法的一些結果及在laplace變換區域中得到了由重調和運算元基本解序列給出了粘彈性薄板動力響應問題的多重互易法（ mrm方法） 。並對粘彈性薄板的動力響應問題的mrm方法給出了收斂性分析，證明了mrm方法導出的邊界積分方程的解與邊值問題基本解導出的常規邊界方程的解是相同的。 -
This method need fewer computation time than connecting scheme ( cs ) based on boundary integral equation and can be apply more easily and more widely. all the numerical results listed in this dissertation have demonstrated the validity and high efficiency of our research works
該方法比以前用積分方程級聯法求解內部口徑導納矩陣需要更少的計算時間，並且能應用於具有更復雜腔體內部結構的含腔目標。
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