收斂圓 的英文怎麼說
中文拼音 [shōuliǎnyuán]
收斂圓
英文
circle of convergence-
The relation of radius of curvature and error as well as formulas of increasing parameters on condition of constant error are diverted. the equation of the line on the center of approximate circular arc is obtained , and it can avoids the trouble that numerical solution owns possibility of no convergence and simplifies node calculation of non - circular curve
導出了曲率半徑與逼近誤差之間的關系和等誤差條件下的參數遞推公式,建立了通過逼近圓弧圓心的直線方程和圓心坐標計算公式.按這種方法用圓弧逼近平面參數曲線,不需要求解非線性方程組,避免了計算可能不收斂的麻煩,簡化了非圓曲線的節點計算過程This method features simple definition for the circle median number, low computation and easiness to converge
該方法的圓中數定義簡單,計算量小,且易於收斂。In the last part of this chapter, we will summarize the main results of existence, uniqueness and regularity for solution of such kind of problems. in chapter ii, we consider a class of boundary value problem for second order degenerate elliptic equations on a bounded periodic domain ft, which is homeomorphic to the cylindrical surface
使用橢圓正則化方法分別在每個區域上討論dirichlet問題,即先構造輔助問題,並建立輔助問題的能量不等式,然後由緊性推理方法,利用輔助問題的解的某種收斂性來得到原問題的弱解存在性。A discretization equation is derived by using a finite volume method in three - dimensional cylindrical polar coordinate system. algebraic equations are solved by iteration with a line - by - line method that is a combination of tdma in axial and radial directions, ctdma in tangential direction and adi method in three directions. the pressure and velocity coupling are solved with the simple algorithm
在三維圓柱坐標下,利用有限體積法推導離散方程;在軸向與徑向用三對角矩陣法( tdma ) ,在周向採用循環三對角矩陣法( ctdma ) ,採用交替方向亞鬆弛疊代法( adi )求解方程;推導同位網格下的壓力修正方程,用simple演算法處理速度與壓力的耦合;為加速收斂,採用適當的鬆弛因子。A finite element solving the elliptic fourth order singular perturbation problem need to be a convergent plate element and to be convergent, uniformly with respect to the parameter e
數值結果表明此元有較好的收斂性。求解四階橢圓奇異攝動問題的有限元應是收斂的板元,並且要關于(Under this flow, the convex initial curve will preserve its perimeter, enlarge the enclosed area and make its curvature to be positive definitely. and as the time lasts, it will become more and more circular, and finally, as the time goes to infinity, the curve will converge to a circle in the hausdorff metric
本文證明在這種新的曲線流之下,閉凸曲線周長保持不變、所圍區域的面積不斷增大而曲率保持恆正(從而保持凸性) ,並且,隨著時間的推移曲線變得越來越圓,最終當時間t趨向于無窮大時,曲線在hausdorff度量意義下收斂到一個圓周。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。Simulation experiments show that the strategy successfully realizes the swing - up control over both rotational and car - pole double inverted pendulums with higher convergence speed and computation accuracy
模擬實驗證明,該策略可成功地實現圓軌和直軌兩種二級倒立擺的擺起控制,並且演算法具有較快的收斂速度和較高的計算精度。The convergence and precision of the analytical solution in this case are studied and discussed to fill the space of the research
本文對淺圓弧型沉積盆地解析解答的收斂性和精度做了研究和討論,彌補了以往工作中由於特殊函數數值計算的限製造成的這一方面研究的缺陷。So a new algorithm, which is based on the bem with the switching algorithm applied is proposed to solve elliptic unilateral problems. the switching algorithm is firstly presented by j. m. aitchison for the signorini problems of laplace operator
因此本文根據aitchison提出的關于laplace運算元的開關演算法,將之拓廣到一般的橢圓型運算元,提出了基於開關演算法的邊界元方法,並進行了演算法的收斂性分析。On the other hand, with traditional iterations and the conjugate gradient ( cg ) as smoothers, we can show the optimal convergence rate of the cascadic method in energy norm for 1 - d and 2 - d cases. when the mesh level is arbitrary, we use a duality argument and obtain the quasi - optimality of the algorithm only for 2 - d problems
另一方面,採用傳統迭代子和共軛梯度法作為光滑子,我們證明了瀑布型多重網格法對一、二維非線性橢圓邊值問題,在能量范數下,均可獲得最優收斂階。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。Several typical sites are chosen in this paper in order to investigate the main points of wave function expansion method applied to elastic wave scattering problems. antiplane scattering analytical solution for the alluvial valley of shallow circular - arc cross - section is investigated, which has practical engineering value
本文選擇了幾種典型場地,研究了波函數展開法在求解其中局部場地彈性波散射問題時的要點,對更有工程實際意義的淺圓弧型沉積盆地,研究了其出平面散射解析解答的收斂性和精度。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Next, in part two, we discuss the galerkin method for elliptic value problems and obtain superconvergent results of derivative by least - square processing
其次,第二部分討論了橢圓邊值問題的galerkin解法,並通過最小二乘處理可獲得導數的超收斂結果。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