De Rham complexes,their exactness properties,commutative diagram involving them and cohomological technique have recently come to play an important role in the design and analysis of numerical methods for partial diff...
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De Rham complexes,their exactness properties,commutative diagram involving them and cohomological technique have recently come to play an important role in the design and analysis of numerical methods for partial differential *** this paper we consider topologically nontrivial domains and develop a new structure-preserving finite element method by using the idea of preservation of cohomological space of continuous systems in *** from the structure-preserving approach on topologically trivial domains developed by *** and ***,this new method not only preserves the commuting diagram between the continuous chain complex and the discrete one on the whole triangulation domain,but also preserves the cohomology space,a crucial topological *** apply the new method to the construction of finite elements for the Dirichlet problem of Poisson equation and elasticity problem, and give some theoretical analysis *** analysis and numerical experiments show that the construction of a good finite element method is closely related to the topological structure of domain and the intrinsic property of the system of differential equations.
Spiral waves observed in excitable and self-oscillatory media exist extensively in *** this paper,dynamical behavior and tip motion of spiral waves driven by complex external signals were *** is well known that resona...
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Spiral waves observed in excitable and self-oscillatory media exist extensively in *** this paper,dynamical behavior and tip motion of spiral waves driven by complex external signals were *** is well known that resonant and stochastic resonant phenomena of spiral waves can happen in a system subjected to simply periodic or noisy external force,but dynamics of spiral waves driven by complex external forces are more complex than periodic signals and simpler than noise,which have been rarely *** results in this paper show that drift and compound motion of spiral waves with complex motion of tip can appear in the system subjected to complex force.
In this paper we focus on collapse of spherical shells subjected to external pressure. Firstly,the comparison was made between spherical and one-dimensional strain wave *** difference and similarity were *** an analyt...
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In this paper we focus on collapse of spherical shells subjected to external pressure. Firstly,the comparison was made between spherical and one-dimensional strain wave *** difference and similarity were *** an analytic form of the shell motion was *** influence of dimensionless parameters on the motion of shell was discussed.
In this paper,we consider an incompressible quasi-Newtonian flow with a temperature dependent viscosity obeying a power law,and the thermal balance includes viscous *** corresponding mathematical model can be written ...
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In this paper,we consider an incompressible quasi-Newtonian flow with a temperature dependent viscosity obeying a power law,and the thermal balance includes viscous *** corresponding mathematical model can be written as: {-2▽·(μ（θ）|D（u）D（u）) +▽ =f inΩV·u = 0 inΩ-△θ=μ（θ）|D（u）| inΩ. u = 0 onΓ0 = 0 on Γ where u:Ω→R is the velocity,p:Ω→R is the pressure,θ:Ω→R is the temperature,Ωis a bounded open subset of R,d = 2 or 3,Γ its *** viscosityμis a function ofθ,μ=μ（θ）.D is the strain rate tensor,D（u） =（▽u +▽u）,|d（u）| is the second invariant of D（u）,and 1
The Poiseuille-Rayleigh-B(?)nard flows in binary fluids with the Soret effect were directly simulated by a mixed finite element method.A temperature perturbation was used as an initial disturbed source for the basic p...
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The Poiseuille-Rayleigh-B(?)nard flows in binary fluids with the Soret effect were directly simulated by a mixed finite element method.A temperature perturbation was used as an initial disturbed source for the basic parallel *** whole spatio-temporal evolution of the binary fluid flows was *** only the disturbed mode with the wavenumber is amplified while others are damped,and continuously the amplified mode grows further and the nonlinear effect becomes important,after a nonlinear evolution transition the flow system evolves finally into a periodic right-going traveling wave.
By the uniform a priori estimate of solution about parameters, we prove the existence of global solution and inviscid lim- it to a generalized Ginzburg-Landau equations in two dimensions. We also prove that the soluti...
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By the uniform a priori estimate of solution about parameters, we prove the existence of global solution and inviscid lim- it to a generalized Ginzburg-Landau equations in two dimensions. We also prove that the solution to the Ginzburg-Landau equations converges to the weak solution to the derivative nonlinear Schrodinger equations.
In this paper, firstly, the proper function space is chosen, and the proper expression of the operators is introduced such that the complex large-scale atmospheric motion equations can be described by a simple and abs...
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In this paper, firstly, the proper function space is chosen, and the proper expression of the operators is introduced such that the complex large-scale atmospheric motion equations can be described by a simple and abstract equation, by which the definition of the weak solution of the atmospheric equations is made. Secondly, the existence of the weak solution for the atmospheric equations and the steady state equations is proved by using the Galerkin method. The existence of the non-empty global attractors for the atmospheric equations in the sense of the Chepyzhov-Vishik’s definition is obtained by constructing a trajectory attractor set of the atmospheric motion equations. The result obtained here is the foundation for studying the topological structure and the dynamical behavior of the atmosphere attractors. Moreover, the methods used here are also valid for studying the other atmospheric motion models.
＜正＞We perform a nonperturbative theoretical investigation of the high harmonic generation（HHG）spectrum of diatomic molecular systems in intense short-pulse laser *** wavelet transform and Wigner distribution are ...
＜正＞We perform a nonperturbative theoretical investigation of the high harmonic generation（HHG）spectrum of diatomic molecular systems in intense short-pulse laser *** wavelet transform and Wigner distribution are extended for the exploration of the underlying mechanisms responsible for the fine structure of
＜正＞The single ionization of He atom by intense linearly polarized laser field in the tunnelling regime is studied by S-matrix *** only the first term of the expansion of S-matrix is considered and time,spatial dist...
＜正＞The single ionization of He atom by intense linearly polarized laser field in the tunnelling regime is studied by S-matrix *** only the first term of the expansion of S-matrix is considered and time,spatial distribution and fluctuation of the laser pulse are taken into account,the obtained momentum
In tests determining the failure locus of materials, the smooth and nocthed bar specimen are often used. During smooth and notched bar tension test, especially from necking to fracture, the stress triaxialities vary, ...
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In tests determining the failure locus of materials, the smooth and nocthed bar specimen are often used. During smooth and notched bar tension test, especially from necking to fracture, the stress triaxialities vary, do not keep constant. As a basic function, the widely used failure locus of materials should characterize the failure strian under different stress triaxialities under simple loading, not include effects of deformation path. This paper presents a calculation method of failure locus from tension tests of smooth and notched specimen based on ductile damage analysis in combination with numerical simulation and optimization algorithm
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