欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
引入Sobolev方程的等价积分方程,构造Sobolev方程的新的时间间断Galerkin有限元格式.该格式不仅保持有限元解在时间剖分点处的间断特性,而且避免了传统时空有限元格式中跳跃项的出现,从而降低了格式理论分析和数值模拟的复杂性.证明了Sobolev方程的时间间断而空间连续的时空有限元解的稳定性、存在唯一性、L^2（H^1）和L^2（L^2）模最优误差估计,同时给出数值试验验证了所提出方法的可行性和有效性.
英文摘要：
A new time discontinuous Galerkin method is constructed for a class of Sobolev equations by introducing the equivalent integral equation of the orginial equation.The proposed scheme not only preserves discontinuity characteristics of approximate solution at time level,but also avoids the appearance of the jump terms in time.And then complexity of the theoretical proof and simulations are reduced.The stability,existence and uniqueness,optimal error estimates in L^2（H^1） and L^2（L^2）-norm for the approximate space-time finite element solution,continuous in space but discontinuous in time, are obtained.Meantime,numerical experiments are presented to verify the feasibility and efficiency of the proposed scheme.
同期刊论文项目
同项目期刊论文
A hybrid vertex-centered finite volume/element method for viscous incompressible flows on non-stagge
A new mixed scheme based on variation of constants for Sobolev equation with nonlinear convection te
A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equat
An adative least square mixed finite element method for pesudo-parabolic intergo-differential equati
A Coupling Method of New EMFE and FE for Fourth-Order Partial Differential Equation of Parabolic Typ
Approximate Analytic Solutions of Time-Fractional Hirota-Satsuma Coupled KdV Equation and Coupled MK
期刊信息
位置：