- 有限單元近似解
- finite: adj. 有限的；【語(yǔ)法】限定的；【數(shù)學(xué)】有窮的，有盡的 ...
- element: n. 1.要素；成分；(構(gòu)成)部分；分子。 2.【化學(xué)】 ...
- approximation: n. 1.接近；近似。 2.【數(shù)學(xué)】近似值。 3.概算， ...
- finite element: 有限單元法; 有限元法
- finite-element: 有限元
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finite element approximation中文什么意思
- 有限單元近似解
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- Based on this fomulation , expanded mixed finite element approximations of the hyperbolic problems are considered . optimal order error estimates for the scalar unknwon , its gradient and its flux in l2 - norms are obtained for this new mixed formulation
給出了逼近未知函數(shù)、未知函數(shù)梯度和流體流量的最優(yōu)l ~ 2模誤差估計(jì)以及擬最優(yōu)的最大模誤差估計(jì)。 - 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
然后，考慮此方程在分層網(wǎng)格剖分上的雙二次有限元逼近，在-加權(quán)h ^ 1 -模意義下得到了至多相差一個(gè)關(guān)于攝動(dòng)參數(shù)對(duì)數(shù)因子的擬最優(yōu)階收斂的誤差估計(jì)。 - 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(jié)論的基礎(chǔ)之上，我們證明了這種格式對(duì)于時(shí)間離散上的二階精度。提出了一種解決定常的熱傳導(dǎo)-對(duì)流問(wèn)題的有限元近似中出現(xiàn)的非線性問(wèn)題的兩層方法。 - In this paper , based on an improved orthogonal expansion in an clement , using the new idea of ref . [ 3 ] , a new error expression of n - degree hermite finite element approximation to one - dimensional 4 - degrec 2 - point bounded problem and 2 - degree ordinary differential problem , and then optimal order superconvergence for their first derivatives is obtained . moreover , we get the same result of their optimal order superconvergence
本文針對(duì)在改進(jìn)的單元正交性估計(jì)的基礎(chǔ)上，利用文[ 3 ]提出的新想法，得到一維四階兩點(diǎn)邊值問(wèn)題和二階常微初值問(wèn)題的n次赫米特有限元u _ h c ~ 1的新誤差估計(jì)式，以及導(dǎo)數(shù)誤差的最佳階超收斂，并且兩者有相同的超收斂結(jié)果。 - In view of the model problem , we do some analysis for the approximations respectively ; we compare uh with the standard finite element approximation of u in vh , and ph with the usual ( non - least - squares ) mixed finite element approximation of p , provided of course that the same approximating spaces are used . it turns out that under weak conditions , they are " almost " equal , i . e . , higher order perturbations of each other . apart from improved a priori bounds , the result also gives us the possibility to extend superconvergence results from the standard and mixed method to the least - squares mixed method
針對(duì)模型問(wèn)題，我們引進(jìn)對(duì)偶問(wèn)題進(jìn)行收斂性分析，最小二乘混合元解u _ h與標(biāo)準(zhǔn)有限元解比較，而p _ h則與通常意義下的混合元解比較，結(jié)果證明在比較弱的正則性假設(shè)條件下，最小二乘混合有限元解u _ h ， p _ h標(biāo)準(zhǔn)有限元解u _ h ~ s和混合元解p _ h ~ m的高階擾動(dòng)。
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