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：
基于双线性元及其梯度所属空间,建立了非线性Schrodinger方程的自由度少且易满足B-B条件的新混合元格式.首先,利用双线性元的高精度分析和导数转移技巧,在半离散格式下,导出了原始变量在H^1模及流量在L^2模意义下的超逼近性质,进而,借助于插值后处理算子,得到了整体超收敛结果.最后,对向后：Euler和Crank-Nicolson-Galerkin全离散格式分别给出了原始变量的H^1模及L^2模和流量的L^2模误差分析,并通过数值算例,表明逼近格式是高效的.
英文摘要：
Based on spaces of bilinear finite element and its gradient, a new mixed finite element approximate formulation with less degree of freedoms is established for nonlinear SchrSdinger equation, which can satisfy B-B condition easily. Firstly, under semi-discrete scheme, superclose properties of original variable in H^1-norm and flux in L^2-norm are derived by use of high accuracy analysis of bilinear finite element and derivative transferring technique. Moreover, the global superconvergence result is obtained by interpolation postprocessing operators. Finally, the error analysis of original variable in H^1-norm and L^2-norm and flux in L^2-norm for backward Euler and Crank-Nicolson-Galerkin fully-discrete schemes are presented, respectively. And it is shown that the proposed approximate schemes are effective by numerical examples.
同期刊论文项目
同项目期刊论文
Superclose and superconvergence of finite element discretizations for the Stokes equations with damp
Superconvergence analysis of nonconforming mixed finite element methods for time-dependent Maxwell&a
EQrot 1 Nonconforming Finite Element Method for Nonlinear Dual Phase Lagging Heat Conduction Equatio
A low order characteristic-nonconforming finite element method fornonlinear Sobolev equation with co
EQ^rot_1 nonconforming finite element method for nonlinear dual phase lagging heat conduction equati
Superconvergence analysis and extrapolation of quasi-Wilson nonconforming finite element for nonline
Superconvergence analysis of nonconforming mixed finite element methods for time-dependent Maxwell’s
Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction eq
期刊信息
位置：