Quasi-optimal order error estimates are obtained for the numerical solutions in L ∞(0,T;L ∞(Ω)) when the index k=0 and in L ∞(0,T;L ∞((Ω)) 2). Optimal order estimate is also obtained for the numerical solutions in L ∞(0,T;L ∞(Ω)) when k≥1.
Through comparing Trochanis numerical results,the present results of this work truly reflect the response of single pile in static load,and indicate all kinds of nonlinear factors act on the pile-soil interaction system.
By adopting Streamline Upwind/Petrov-Galerkin (SUPG) formulation for the selection of the unsymmetrical weight function for energy equation, the distortion of the numerical results was overcome when the convective term is dominant.
By adopting SUPG(Streamline Upwind/Petrov Galerkin formulation) for selection of the unsymmetrical weight function for energy equation,the distortion of the numerical results when the convective term is dominate was overcome,and the stable temperature distribution was obtained.
The incident light tilted can be brought into depolarization by help of coating the dielectric film of given reflective index n_1 and thickness don the absorbing substrate, namely R_p=R_s, The emphasis is laid on the analysis relevant to a simple and precision determination on n, and d, although the overlap method can be used to find the numeric solution of n_1 and d.
This is done by using a travelling wave method to formulate one-soliton solution and the finite difference method to the numerical solutions and the interactions between the solitons for the generalized nonlinear Schrodinger equations.
This achieved using a traveling wave method to formulate one-soliton solution and the P-R method is employed to the numerical solutions and the interactions between the solitons for the generalized nonlinear systems in 2-space.
By using the elliptic Ritz-Volterra projection, the analysis of the error estimates for the finite element numerical solutions and the optimal H1-norm error estimate are demonstrated.
Control of Power Grid Development: Numerical Solutions
The approximate results are in good agreement with the exact numerical solutions.
A numeric solution of this system is obtained for various values of the dielectric constant, plate impedances plate thickness, and the distance between the plates through which the effect of these parameters on the diffraction phenomenon is studied.
Based on the numeric solution of a system of coupled channels for vector mesons (S-and D-waves mixing)and for tensor mesons (P- and F- waves mixing) mass spectrum and wave functions of a family of vector mesons q
It has been checked, under what conditions the kinetic curves obtained by numeric solution of those relationships may be described in terms of equations D1 α2=kt, F2 [1/(1 - α) - 1 =kt] and F3 [1/(1 - α)2 - 1=kt].
A Numeric Solution for Einstein's Gravitational Theory with Proca Matter and Metric-Affine Gravity
We study in detail a corresponding numeric solution of the Reissner-Nordstr?m type.