boundary equation method 中文意思是什麼
boundary equation method
解釋
邊界方程法-
In chapter 3, 1 consider the nonlinear parabolic equation : where a bounded domain with smooth boundary in ; v is outward normal vector on is a positive function satisfying some compatibility conditions focus my attention on the case of m > 1, to obtain the blow - up conditions of the positive solution using the method of subsolution and supersolution
運用緊致性原理及moser迭代得到了解的整體存在性和解的熄滅性質。第三章討論了如下形式的非線性拋物方程：其中m ， ， 0 ， r ~ + ，為r ~ n （ n 1 ）中的有界域，具有適當光滑的邊界（ ? ） ； v是（ -
In the first part of the paper, the explicit form of difference equation and periodic boundary condition is derived in cartesian coordinate system. secondly, the dispersive characteristic is analyzed in cylinder coordinate system for many high power microwave devices use cylinder sws. and then the method is extended to calculate the band structure of 2 - d photonic crystal, a modified yee ’ s grid is introduced to calculate the dispersive characteristic in the case of triangular lattice, so that both square lattice and triangular lattice cases can be solved in cartesian coordinate system
周期電磁結構的一個重要應用就是用作高功率微波器件中的慢波系統，考慮到目前大部分高功率微波器件的慢波系統多採用圓柱周期結構，在論文第四章中，在圓柱坐標系下，給出了差分方程和周期性邊界條件的具體形式，同時編寫程序，分析了milosws ，盤荷慢波結構的色散特性。 -
In addition, in order to solve the differencing equations, feasible project is presented to deal with the first and second boundary conditions. finally, jacobi interation method is selected for the solution of the equation systems
為了實現內點離散方程組的封閉，本文就第一、二類邊界條件在計算時的處理和邊界外虛擬點的外插法求值，給出了可行的解決方案。 -
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。 -
The laser power is detected through the pd ’ s movement across the faculous region. when the value of the peak value of laser power is got, the power of the facular boundary points can be found according to definition of the facular boundary such as “ 1 / e ~ 2 ” theory. then the equation of the facular boundary can be made fitting by using the least square method, and calculate the beam divergence at last
採用兩個光電探測器分別檢測光束不同高度上的兩個光斑，在確定光斑中心最大光強值后，根據光斑截面尺寸的1 / e2定義，得到光斑截面邊界點的光強值，並以其為標準判定光斑截面的邊界點，對探測到的邊界點通過最小二乘法進行擬合，得到橢圓光斑截面的方程，根據空間幾何關系求出發散角。 -
According to non - newtonian fluid mechanics theory and mathematical method, conbined with plunger moving property, the hypothesize fluid is imcompressive, hydraulic radius of flow of liquid in crevice is very little, and it is laminar flow, the flow is treated fixed continuous flow at every instant position of plunger, equation of motion and boundary condition were set up in condition of concentric and eccentric of pump barrel and plunger
運用非牛頓流體力學理論和數理方法，結合抽油泵柱塞運動特點，假設液體為不可壓縮的，液體在縫隙中流動的水力半徑很小，呈層流流動，柱塞在每一位置的瞬間，流動做定常流處理，建立了泵筒與柱塞同心和偏心兩種情況下運動方程和邊界條件，引入無量綱坐標、無量綱速度和柱塞與泵筒偏心配合時的縫隙高度，並給出縫隙流流速、流量的解析解。 -
In this paper, the standard three - dimensional k - two - equation turbulence model which modifies the item of buoyant effect and simple algorithm are adopted, wall functions are used to deal with the boundary condition and a simplified method - box method is used to model the supply air boundary condition
本文數值計算採用經過浮升力項修正的k -兩方程模型和simple演算法，壁面邊界條件採用標準壁面函數，風口邊界條件採用盒子方法。廠房內的氣流運動主要受風口出流動量的制約，因此選擇合理描述入流邊界條件的風口模型對數值模擬至關重要。 -
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。 -
The research methods of serpentine waveguide and groove guide have been introduced. eigen equation of rectangular groove guide is obtained by galerkin boundary integration equation method. more accurate results are got with four - order approximation, which show good convergence and better agreement with experimental data when compared with previously published papers
利用galerkin積分方程法得到了矩形槽波導任意價精度下的本徵方程，計算得到1到4價精度下的本徵解，並且跟文獻中的試驗結果及其他方法得到的結果做了比較，結果顯示，本文的結果更接近於試驗數據，並且收斂速度快。 -
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。 -
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 -
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。 -
With fortran power station 4. 0, we make galerkin boundary element method program for solving laplace equation on region which boundary is a closed curve or an open arc, and the numerical experiments also prove this method is reliable. last we test the error of galerkin boundary element by numerical experimentation
最後利用fortranpowerstation4 . 0程序語言分別編寫了用galerkin方法求解區域邊界為閉曲線及區域邊界為直線段或開弧段laplace方程的計算機程序，通過幾個算例證明了該方法是有效的、是可行。 -
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。 -
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。 -
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。
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