finite element approximation 中文意思是什麼

finite element approximation 解釋
有限單元近似解
  • finite : adj. 有限的；【語法】限定的；【數學】有窮的，有盡的。n. 〈the finite〉 有限（性）； 〈集合詞〉有限物。adv. -ly ,-ness n.
  • element : n 1 要素；成分；（構成）部分；分子。2 【化學】元素；【數學】元，素；【機械工程】單元；單體；【無...
  • approximation : n. 1. 接近；近似。2. 【數學】近似值。3. 概算，略計。
  1. The approximation of the parabolic integro - differential equations is studied with anisotropic biquadratic finite element

    摘要研究具有各向異性特徵的雙二次元對拋物積分微分方程進行了逼近。
  2. Its biquadratic finite element approximation is considered and under the appropriately graded meshes, quasi - optimal order error estimates in the - weighted h ^ 1 - norm, up to a logarithmic factor in the singular perturbation parameter, are proved

    然後，考慮此方程在分層網格剖分上的雙二次有限元逼近，在-加權h ^ 1 -模意義下得到了至多相差一個關于攝動參數對數因子的擬最優階收斂的誤差估計。
  3. Superconvergence of a mixed finite element approximation for stokes problem

    問題一種混合元近似的超收斂
  4. A. d. p. i. approximation for characteristic finite element methods for quasilinear sobolev equations and its analysis

    方程的特徵有限元格式的交替方向預處理迭代解及其分析
  5. A smoothing technique is combined with optimum approximation and finite element piece - wise interpolation in the method, it can simultaneously process measured vector components, imp ro ve smoothing capability of solution, space composed of original discrete points and increase the accuracy of the solution, especialy its derivatives

    該方法結合最佳逼近、有限元分片插值與光順技巧，對測量向量各獨立分量進行處理，改善了原離散點構成的解空間的光滑性，提高了解尤其是導數場的精度，在測量區域內再現了光順向量函數及連續的導數。
  6. Using the approximation form of lumped mass matrix instead of the mass matrix in finite element discretization in space, backward differencing scheme in time, an implicit computational scheme is yielded, it proved the convergence estimate for this implicit scheme

    對有限元離散中引起較大誤差的質量矩陣，採用了近似形式的集總質量矩陣來代替，時間項採用向後差分，得到了一個隱式的計算格式，證明了計算格式的收斂性及其收斂速度估計。
  7. A nonconforming finite element method of approximation on domain with curved boundaries by polygon domain

    關于多角形區域逼近曲邊區域的一種非協調元方法
  8. On the basis of some conclusion, we have proved that the schemes have second - order convergence accuracy for the time discretization, a two - level method for resolving the nonlinearity in finite element approximation of the stationary conduction - convection problems is presented

    在某些已有結論的基礎之上，我們證明了這種格式對于時間離散上的二階精度。提出了一種解決定常的熱傳導-對流問題的有限元近似中出現的非線性問題的兩層方法。
  9. The characteristic approximation is used to handle the convection part along the direc - tion of fluid namely characteristic direction to ensure the high stability of the method in approximating the sharp fronts and reduce the numerical diffusion ; the mixed finite element spatial approximation is employed to deal with diffusion part and approximate the scalar unknown and the adjoint vector function optimally and simultaneously ; in order to preserve the integral conservation of the method, we introduce the modified characteristic method

    該方法對方程的對流部分沿流體流動的方向即特徵方向離散以保證格式在流動的鋒線前沿逼近的高穩定性，消除數值彌散現象；對方程的擴散部分採用最低次混合有限元方法離散、同時以高精度逼近未知函數及未知函數的梯度；為保證方法的整體守恆性，在格式中引入修正項
  10. The new method is a combination of characteristic approximation to handle the convection part, to ensure the high stability of the method in approximating the sharp fronts and reduce the numerical diffusion, a smaller time truncation is gained at the same time, and a mixed finite element spatial approximation to deal with the diffusion part, the sealer unknown and the adjoint vector function are approximated optimally and simultaneously

    此方法即為對方程的對流項沿流體流動的方向即特徵方向進行離散，從而保證格式在流動鋒線前沿逼近的高穩定性，消除了數值彌散現象，並得到了較小的時間截斷誤差；另一方面，對方程的擴散項採用混合元離散，可同時高精度逼近未知函數及其伴隨向量函數，理論分析表明，此方法是穩定的，具有最優的l ~ 2逼近精度。
  11. This feature reflects the physical phenomenon of breaking of waves and development of shock waves. in the fields of fulid dynamics, ( 0. 2. 1 ) is an approximation of small visvosity phenomenon. if viscosity ( or the diffusion term, two derivatives ) are added to ( 0. 2. 1 ), it can be researched in the classical way which say that the solutions become very smooth immediately even for coarse inital data because of the diffusion of viscosity. a natural idea ( method of regularity ) is obtained as follows : solutions of the viscous convection - diffusion pr oblem approachs to the solutions of ( 0. 2. 1 ) when the viscosity goes to zeros. another method is numerical method such as difference methods, finite element method, spectrum method or finite volume method etc. numerical solutions which is constructed from the numerical scheme approximate to the solutions of the hyperbolic con - ervation laws ( 0. 2. 1 ) as the discretation parameter goes to zero. the aim of these two methods is to construct approximate solutions and then to conside the stability of approximate so - lutions ( i, e. the upper bound of approximate solutions in the suitable norms, especally for that independent of the approximate parameters ). using the compactness framework ( such as bv compactness, l1 compactness and compensated compactness etc ) and the fact that the truncation is small, the approximate function consquence approch to a function which is exactly the solutions of ( 0. 2. 1 ) in some sense of definiton

    當考慮粘性后，即在數學上反映為（ 0 . 1 . 1 ）中多了擴散項（二階導數項） ，即使很粗糙的初始數據，解在瞬間內變的很光滑，這由於流體的粘性擴散引起，這種對流-擴散問題可用古典的微分方程來研究。自然的想法就是當粘性趨于零時，帶粘性的對流-擴散問題的解在某意義下趨于無粘性問題（ 0 . 1 . 1 ）的解，這就是正則化方法。另一辦法從離散（數值）角度上研究僅有對流項的守恆律（ 0 . 1 . 1 ） ，如構造它的差分格式，甚至更一般的有限體積格式，有限元及譜方法等，從這些格式構造近似解（常表現為分片多項式）來逼近原守恆律的解。
  12. In this thesis, we study ultraconvergence of finite element approximation in one dimensional case ( include two - point boundary value problem, one dimensional parabolic equation and parabolic type integro - differential equation )

    本文研究一維問題（包括兩點邊值問題，一維拋物問題及拋物型積分-微分方程）有限元逼近的強超收斂性。
  13. Nonconforming finite element approximation on anisotropic meshes with numerical quadrature

    各向異性網格下具有數值積分的非協調有限元逼近
  14. Mixed finite element approximation of a degenerate elliptic problem

    一個退化橢圓問題的混合有限元法
  15. The bilinear finite element approximation for semi - singularly perturbed reaction - diffusion problems is considered

    摘要考慮半奇異攝動反應擴散問題的雙線性有限元逼近。
  16. Anisotropic nonconforming finite element approximation to variational inequality problems with displacement obstacle

    位移障礙下變分不等式問題的各向異性非協調有限元方法
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