橢圓投影 的英文怎麼說
中文拼音 [tuǒyuántóuyǐng]
橢圓投影
英文
ellipicity projection-
In chapter three, we consider the finite volume element mstheods for nonlinear hyperbolic problems on the basic of the chapter three, optimal order error estimates in the h1, l2norms and w1, almost optimal error estimates in l are also demonstrated
在第二章的基礎上也得到了h ~ 1 ， l _ 2和w ~ （ 1 ， ）誤差估計以及l _最優誤差估計和近似解和真解的廣義橢圓投影間的超收斂估計。In chapter two, we consider the finite volume element methods for nonlinear parabolic problems optimal order error estimates in the h1, l2norms and w1, almost optimal error estimates in l are demonstrated. moreover superconvergence in the error between the approximate solution and the generalized elliptic projection of the exact solution is also shown
第二章考慮非線性拋物方程的初值問題的體積有限元法，並證明了h ~ 1 ， l _ 2和w ~ （ 1 ， ）誤差估計以及l _最優誤差估計，而且還得到了近似解和真解的廣義橢圓投影間的超收斂估計。There are many papers ( cf [ l ] - [ 3 ] ) have studied the method and error estimate for boundary integeral equation and elliptic boundary value problems, and obtain some superconvergent results by varied post - processings such as interpolation, average and extrapolation etc. in this paper, we mainly study the galerkin solution for first - kind boundary integeral equation and elliptic boundary value preblem. further more we can obtain superconvergence results by ( l _ ( 2 ) project ion ) least - squares processing for derivative of elliptic boundary value problems
對于邊界積分方程與橢圓邊值問題的解法及誤差估計已有很多文章（參[ 1 ] - [ 3 ] ）研究，並且通過各種后處理如插值、平均、外推等得到一系列的超收斂結果，本文則著重探討一型邊界積分方程galerkin解通過l ~ 2投影（最小二乘）運算元處理后以及橢圓邊值問題的導數進行l ~ 2投影（最小二乘法）處理后可獲得超收斂結果。Using the regularized greens functions and a duality argument, it is proved that the mixed finite element method proposed in this paper possesses the superconvergence by almost one order maximum norm estimates for the l2 projection of the function and quasi - optimal maximum norm estimates for the associated vector function for a strongly nonlinear second order elliptic problem
本文利用正規格林函數及對偶論證技術證明了一類強非線性二階橢圓問題混合元方法對函數的l2投影具有幾乎超收斂一階的最大模誤差估計，對伴隨向量函數具有擬最優最大模誤差估計The main task of this paper is to investigate the least - squares mixed method for the elliptic boudary - value problems. by introducing the projections and duality problems, we do some analysis for the approximations and finally obtain the general superconvergence results
本文的主要工作就是研究橢圓邊值問題的最小二乘混合有限元方法，通過引進投影運算元和對偶問題進行收斂性分析，最後得到了超收斂結果。分享友人