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931.
A new variant of the Adaptive Cross Approximation (ACA) for approximation of dense block matrices is presented. This algorithm can be applied to matrices arising from the Boundary Element Methods (BEM) for elliptic or Maxwell systems of partial differential equations. The usual interpolation property of the ACA is generalised for the matrix valued case. Some numerical examples demonstrate the efficiency of the new method. The main example will be the electromagnetic scattering problem, that is, the exterior boundary value problem for the Maxwell system. Here, we will show that the matrix valued ACA method works well for high order BEM, and the corresponding high rate of convergence is preserved. Another example shows the efficiency of the new method in comparison with the standard technique, whilst approximating the smoothed version of the matrix valued fundamental solution of the time harmonic Maxwell system. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
932.
In this paper, we introduced a summation‐integral type modification of Szász–Mirakjan operators. Calculation of moments, density in some space, a direct result and a Voronvskaja‐type result, are obtained. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
933.
The transport dynamics in complex systems governing by anomalous diffusion modelled with Riesz fractional partial differential equations 下载免费PDF全文
Santanu Saha Ray 《Mathematical Methods in the Applied Sciences》2017,40(5):1637-1648
In this paper, numerical solutions of fractional Fokker–Planck equations with Riesz space fractional derivatives have been developed. Here, the fractional Fokker–Planck equations have been considered in a finite domain. In order to deal with the Riesz fractional derivative operator, shifted Grünwald approximation and fractional centred difference approaches have been used. The explicit finite difference method and Crank–Nicolson implicit method have been applied to obtain the numerical solutions of fractional diffusion equation and fractional Fokker–Planck equations, respectively. Numerical results are presented to demonstrate the accuracy and effectiveness of the proposed numerical solution techniques. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
934.
LiuShutian 《Acta Mechanica Solida Sinica》2004,17(2):150-157
I. INTRODUCTION Reliability analysis is becoming increasingly important in structural design. Over the years, manyresearchers have been involved in the evaluation of failure probability and many methods have beenpresented for structural reliability anal… 相似文献
935.
The transient recoverable deformation ratio after melt elongation at various elongational rates and maximum elongations was
investigated for pure polystyrene and for a 85 wt.% polystyrene/15 wt.% linear low density polyethylene (PS/LLDPE 85:15) blend
at a temperature of 170 oC. The ratio p of the zero shear rate viscosity of LLDPE to that of PS is p = 0.059 ≈ 1:17. Retraction of the elongated LLDPE droplets back to spheres and end-pinching is observed during recovery.
A simple additive rule is applied in order to extract the contribution of the recovery of the elongated droplets from the
total recovery of the blend. In that way, the recoverable portion of the PS/LLDPE blend induced by the interfacial tension
is determined and compared with the results of a theory based on an effective medium approximation. The effective medium approximation
reproduces well the time scale of the experimental data. In addition, the trends that the recoverable deformation increases
with elongational rate and maximum elongation are captured by the theoretical approach. 相似文献
936.
完成了简谐激励下水中平行圆板的挤压膜振动实验.用最小二乘法识别出非线性粘性挤压膜力模型中的4个系数.不同挤压膜厚、不同频率和不同振幅情况的数值模拟结果与实验值吻合较好.研究结果表明,所用模型可较好地描述粘性挤压膜运动,识别出的系数在一定范围内给出良好精度的数值模拟. 相似文献
937.
Summary The article presents a fast numerical algorithm for calculating the response of a halfspace under any surface loads. Under
certain conditions there exists an analytical solution to the problem in the Fourier domain. To get the desired response,
a numerical inverse Fourier transform of this analytic solution has to be made. By using a wavelet decomposition, the proposed
algorithm can reduce the calculation time significantly, thus allowing the computation of complex problems. As an example,
the response of the beam-halfspace coupled system under moving load is presented.
Received 6 March 1997; accepted for publication 20 May 1997 相似文献
938.
促进其线性频散特征另一种形式的Bousinesq方程 总被引:1,自引:0,他引:1
Bousinesq方程能够用于模拟表面重力波传播过程中的折射、绕射、反射以及浅化,非线性作用等现象.用不同垂直积分方法所得到的二维Boussinesq方程形式具有不同的线性频散特征.采用两个不同的水深层的水平速度变量组合,推导出一个新形式的Bousinesq方程.通过对其参数的设置可得到精确的线性频散解Pade近似4阶精度.其适用范围已由原来的浅水,向深水拓进.相速误差小于2%,其拓展适用范围可达到08个波长水深.应用所得到的新型Bousinesq方程,采用有限差分法,对经典工况进行了数值模拟,其计算结果表明,计算值与物模实验值吻合较好.这说明本文新形式的Boussinesq方程对变水深非线性效应所产生的能量频散有着较为精确的描述 相似文献
939.
IntroductionAMSAA model could evaluate reliability growth test for mono-system perfectly[1-8].Butfor multi-systems,especially for synchronously developed multi-systems,the model parametersneed to be estimated by developing some newmethods.AMSAA-BISE model… 相似文献
940.
Marius Buliga 《Journal of Elasticity》1998,52(3):201-238