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101.
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The entropy solutions of the compressible Euler equations satisfy a minimum principle for the specific entropy (Tadmor in Appl Numer Math 2:211–219, 1986). First order schemes such as Godunov-type and Lax-Friedrichs schemes and the second order kinetic schemes (Khobalatte and Perthame in Math Comput 62:119–131, 1994) also satisfy a discrete minimum entropy principle. In this paper, we show an extension of the positivity-preserving high order schemes for the compressible Euler equations in Zhang and Shu (J Comput Phys 229:8918–8934, 2010) and Zhang et?al. (J Scientific Comput, in press), to enforce the minimum entropy principle for high order finite volume and discontinuous Galerkin (DG) schemes. 相似文献
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Yu-Hsin Shu Yu-Chen Tseng Yu-Hsiang Lai Yan-Ting Yu Kai-Feng Huang Yung-Fu Chen 《Entropy (Basel, Switzerland)》2022,24(2)
The resonant modes generated from the modern Chladni experiment are systematically confirmed to intimately correspond to the maximum entropy states obtained from the inhomogeneous Helmholtz equation for the square and equilateral triangle plates. To investigate the origin of maximum entropy states, the inhomogeneous Helmholtz equation is modified to consider the point interaction coming from the driving oscillator. The coupling strength associated with the point interaction is characterized by a dimensionless factor α. The δ potential of the point interaction is numerically modelled by a truncated basis with an upper index N. The asymptotic behavior for the upper index N is thoroughly explored to verify that the coupling strength of α = 1.0 can make the theoretical resonant modes agree excellently with the maximum entropy states as . It is further authenticated that nearly the same resonant modes can be obtained by using a larger coupling strength α when a smaller upper index N is exploited in the calculation. 相似文献
105.
Fuzzy Optimization and Decision Making - In this paper, an uncertain nonlinear switched system is a nonlinear switched system disturbed by subjective uncertainties, which can be illustrated by... 相似文献
106.
L—Fuzzy拓扑空间中的可数F紧性与几乎可数F紧性 总被引:1,自引:0,他引:1
本文在L-uzzy拓扑空间中引入可数F紧性与几乎可数F紧性的概念,并讨论了它们的性质及其相互关系。 相似文献
107.
制备了基于新型蓝绿色荧光MQAB与红色磷光Ir(MDQ)2acac的荧磷混合式白色有机电致发光器件,并探讨了TPBI或UGH3两种间隔层及二者的混合间隔层的器件的发光性能.研究发现,采用TPBI和UGH3的混合间隔层可以调控载流子注入与传输的平衡.当m(TPBI)∶ m(UGH3)=1∶1时,可有效地控制发光区域,使得器件性能得到优化,并获得发光亮度高达14 700 cd/m2的白色有机电致发光器件,最高电流效率可达11.60 cd/A,且器件具有较高的色稳定性.采用混合间隔层的器件比单用TPBI或UGH3作为间隔层的器件效率提高了200% ~ 300%. 相似文献
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Bernardo Cockburn Mitchell Luskin Chi-Wang Shu Endre Sü li. 《Mathematics of Computation》2003,72(242):577-606
We consider the enhancement of accuracy, by means of a simple post-processing technique, for finite element approximations to transient hyperbolic equations. The post-processing is a convolution with a kernel whose support has measure of order one in the case of arbitrary unstructured meshes; if the mesh is locally translation invariant, the support of the kernel is a cube whose edges are of size of the order of only. For example, when polynomials of degree are used in the discontinuous Galerkin (DG) method, and the exact solution is globally smooth, the DG method is of order in the -norm, whereas the post-processed approximation is of order ; if the exact solution is in only, in which case no order of convergence is available for the DG method, the post-processed approximation converges with order in , where is a subdomain over which the exact solution is smooth. Numerical results displaying the sharpness of the estimates are presented.