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5篇 您的检索式:作者名="HE Siriguleng"
    题名 作者 年代 出处 被引量
1Splitting positive definite mixed element method for viscoelasticity wave equation显示文摘切开积极明确的混合有限元素方法的 A 为秒顺序粘弹性波浪方程被建议。建议过程能被分成三个独立对称的积极明确的 integro 微分的分系统并且不需要解决方程的 a coupled 系统。错误估计为 semidiscrete 和充分分离的计划被导出。为 semidiscrete 计划的存在和唯一被证明。最后,一个数字例子被提供说明方法的效率。Yang LIU Hong LI Wei GAO Siriguleng HE Jinfeng WANG 2012Frontiers of Mathematics in China2012,7,4:3
2An H^1-Galerkin Expanded Mixed Element Method for Semi-linear Hyperbolic Wave Equation显示文摘An H1-Galerkin expanded mixed finite element method is discussed for a class of second order semi-linear hyperbolic wave equations. By using the mixed formulation, we can get the optimal approximation for three variables: the scalar unknown, its gradient and its flux(coefficient times the gradient), simultaneously. We also prove the existence and uniqueness of semi-discrete solution. Finally, we obtain some numerical results to illustrate the efficiency of the method.WANG Jin-feng LIU Yang LI Hong HE Siriguleng 2013Chinese Quarterly Journal of Mathematics2013,28,1:2
3A new mixed scheme based on variation of constants for Sobolev equation with nonlinear convection term显示文摘A new mixed scheme which combines the variation of constants and the H1-Galerkin mixed finite element method is constructed for nonlinear Sobolev equation with nonlinear convection term.Optimal error estimates are derived for both semidiscrete and fully discrete schemes.Finally,some numerical results are given to confirm the theoretical analysis of the proposed method.LIU Yang LI Hong HE Siriguleng GAO Wei MU Sen 2013Applied Mathematics(A Journal of Chinese Universities)2013,28,2:1
4Time discontinuous Galerkin space-time finite element method for nonlinear Sobolev equations显示文摘Siriguleng HE Hong LI Yang LIU 2013Frontiers of Mathematics in China2013,8,4:0
5A NEW CHARACTERISTIC EXPANDED MIXED METHOD FOR SOBOLEV EQUATION WITH CONVECTION TERM显示文摘In this paper,a new numerical method based on a new expanded mixed scheme and the characteristic method is developed and discussed for Sobolev equation with convection term.The hyperbolic part d(x)∂u/∂t+c(x,t)·∇u is handled by the characteristic method and the diffusion term∇·(a(x,t)∇u+b(x,t)∇ut)is approximated by the new expanded mixed method,whose gradient belongs to the simple square integrable(L^(2)(Ω))^(2)space instead of the classical H(div;Ω)space.For a priori error estimates,some important lemmas based on the new expanded mixed projection are introduced.An optimal priori error estimates in L^(2)-norm for the scalar unknown u and a priori error estimates in(L^(2))^(2)-norm for its gradientλ,and its fluxσ(the coefficients times the negative gradient)are derived.In particular,an optimal priori error estimate in H1-norm for the scalar unknown u is obtained.YANG LIU HONG LI SIRIGULENG HE ZHICHAO FANG JINFENG WANG 2014International Journal of Modeling, Simulation, and Scientific Computing2014,5,1:0
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