laplace equation 中文意思是什麼

laplace equation 解釋
拉伯拉斯方程式
  • laplace : Laplace , Pierre Simon, Marquis de 拉普拉斯〈1749-1827，法國天文學家、數學家〉。
  • 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. Method of reducing dimensions for laplace equation ' s conformal transformation

    方程的保角變換降維法
  2. Laplace transformation, array, vector, determinate, linear equation set, fourier series, partial differential equations

    本課程介紹拉普拉斯轉換、矩陣、向量、行列式、線性方程組、傅立葉級數、偏微分方程式。
  3. Numerical computation of a cauchy problem for laplace ' s equation

    問題的一種數值解法
  4. As an example, the implementation of the laplace equation with the gridless method has been presented at first and the resulting large scale matrix equations are solved by gmres algorithm. the numerical simulations of the flows over a cylinder are tested successfully with clouds of different scales, which shows the " cloud " effects on the computational accuracy

    本文先以代表定常不可壓位勢繞流的laplace方程為例，研究了laplace方程的無網格離散形式，並運用gmres高效演算法對其快速求解，數值模擬了典型的圓柱繞流；並通過不同點雲尺度的數值模擬，顯示出點雲尺度對計算精度的影響。
  5. The subject of this thesis is to study ironless moving coil linear permanent magnet synchronous motor and the major works in this thesis are summarized as follows : 1 ) two analytical formulas are derived by concentrated current method and distributed current method to determine the magnetic field due to pm, based on the current model of pm. besides, two method ( magnetic charge method and solution by laplace equation method ) are also introduced with comparing their advantages and disadvantages. then the effects of the motor parameters on the flux distribution are discussed

    本文對空芯動圈式直線同步電動機進行了深入細致的研究，內容包括： （ 1 ）採用電流模型推導出兩種計算永磁磁極二維氣隙磁場的解析公式（集中電流法、分佈電流法） ，同時介紹了兩種永磁電機氣隙磁場計算方法（磁荷法，直接求解拉氏方程法） ，分析各種方法的優缺點，討論電機參數對氣隙磁密的影響； （ 2 ）介紹了單層同心繞組的布置方式，根據安培定律推導出空芯動圈式直線永磁同步電動機的靜推力計算公式，分析靜態力?位移特性； （ 3 ）建立空芯動圈式直線永磁同步電動機動態模擬模型，模擬不同驅動方式下電動機起動、穩態運行時電磁力、速度、位移的變化情況。
  6. In order to overcome the difficulty mentioned above, this paper provides an improved heat transfer equation and a mended bem for the problems. first of all, the enthalpy and the " virtual temperature " are introduced into the paper to eliminate several mutative thermophysical properties in the heat transfer equation. secondly, the movement of the boundary between the solid and liquid phases in the billet is educed by virtue of the laplace transform

    這些改進包括：引入熱焓和「虛擬溫度」的概念，對非常數的熱物性參數進行整合：充分考慮鑄坯凝固潛熱釋放帶來的影響，利用「溫度回升法」來加以處理；利用拉氏變換和反拉氏變換的原理來對凝固過程中鑄坯內部固液相界面的移動方程進行了推導和求解，在凝固過程中充分考慮鑄坯內部的固液兩相的影響等等。
  7. The related physical equations ( yang - laplace equation and hagen - poiseuille equation ) were re - derived for different pore shapes. and the effect of using different pore model such as circle, elliptical and slit pore model to determine pore size and its distribution was investigated

    計算結果表明當假設孔為橢圓形時，液體置換法表徵得到的結果與掃描電鏡、比重法分析得到的實驗結果比較吻合，也可以較好地反映孔的實際形態結構。
  8. In the case of dipole model, it gets the precision distribution of the electric field of the inside and outside of the particle by solving the laplace equation. the influences of the separation distance of the particles on the shear yield stress are investigated. and the result of the laplace is also contrasted with the result of the finite element by ansys software

    在極化的狀況下，利用求解laplace方程，求解出多粒子下粒子內部的和周圍的局部電場的表達式，求解出粒子表面的極化電荷、粒子內部的和外部的局部電場，考慮了粒子間距對局部電場的影響，還分析了，在不同外加電場下對局部電場的影響，並且與ansys有限元的數值結果模擬進行了對比。
  9. 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。
  10. 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。
  11. On the base of mathematical domain decomposition method ( ddm ), this paper investigates systematically the quasi - static problems based on laplace equation, the transmission problems in waveguide based helmholtz equation and the three - dimensional scattering and radiation problems based on maxwell equations. the theoretical system is built for the further exploration of ddm in electromagnetic problems

    本文在區域分解法已有的數學基礎上，從基於laplace方程的準靜態問題，到基於helmholtz方程的波導傳輸問題以及基於maxwell方程的三維散射輻射問題，系統地探討了該方法在電磁領域中的應用，為進一步擴展應用研究建立了理論體系。
  12. The fft of laplace equation on the regular domain is studied. as the application, combined with ddm, the fast algorithm is used to compute characteristic impedance of rectangular coaxial line

    另外，研究了規則區域上laplace方程的fft快速演算法，作為應用，結合區域分解法分析了準tem傳輸線。
  13. The harmonic equation ， or laplace equation is a typical and simple elliptic partial differential equation

    最典型也最簡單的橢圓型偏微分方程是調和方程，又稱laplace方程。
  14. 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。
  15. Derivation of dirichlet and neumann problem in laplace equation with algebraic method

    極坐標下平面曲線的四步作圖法
  16. At first, the relaxed iterative schwarz alternating method based on the laplace equation is discussed

    論文首先闡述了基於laplace方程的鬆弛迭代schwarz交替法。
  17. The mathematical model of many problems of mechanics and physics are reduced to boundary problems of laplace equation

    力學和物理學研究中的許多問題都歸結為laplace方程的邊值問題。
  18. If applied experiential formula mechanically to calculate the dynamic moment of the tri - eccentric butterfly vavle, its errors for the results would be larger. the paper, by virtue of the postulate of flow with fixed constant, eddiless of ideal liquid, calculated laplace equation by finite difference method in rectangular coordinates, gained pressure distribution on the butterfly disc section, thereby figured out its dynamic moment under each opening angle and the method was feasible for calculating dynamic moment of symmetry or not, designed the program and described the curve of dynamic moment. finally, the paper infered their laws

    採用經驗公式來計算三偏心蝶閥的動水力矩，誤差比較大，本文根據三偏心蝶閥的結構特點，利用理想流體的定常、無旋流動的假定，用有限差分法在直角坐標系中求解拉普拉斯方程，得到蝶板截面上的壓力分佈，從而計算出蝶板在各個開度下的動水力矩，設計出了求解的程序，給出了程序運行的結果並進行了數據處理從而得到了動水力矩曲線，總結了它的變化規律。
  19. Then a laplace equation can be deduced and through computation, the blade profile coordinates and geometry of the cascade result from an analytical solution. next, an optimization method, taking the geometry parameters of the unclosed profile as its objective functions, is used to obtain an optimized blade profile. and last, the optimized profile is refined with round arcs added in the leading and trailing edges

    本文採用的勢、流函數解析法法中，將無旋方程用新的類無旋方程替代，這樣在計算域上得出速度場的解析關系式，計算得出初始葉型；然後以此初始葉型的幾何參數，例如前尾緣的封閉程度和葉型彎角等為目標函數，通過優化程序對初始速度進行自動調節直到目標函數值最小為止。
  20. 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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