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：
本文主要研究类Wilson元对抛物方程的逼近,当问题的解υ∈H~3（Ω）及υ∈H~4（Ω）时,利用该元的非协调误差在能量模意义下分别可以达到O（h~2）和O（h~3）比其插值误差高一阶这一特殊性质,运用对时间t的导数转移技巧,再结合双线性元的高精度分析及插值后处理技术,导出了O（h~2）阶超逼近性质和整体超收敛,进一步地,通过构造了一个新的外推格式,得到了具有更高精度O（h~3）阶的外推结果。
英文摘要：
In this paper, quasi-Wilson finite element approximation is mainly studied for parabolic equations. By using the special property of the element, that is, consistency error with order O（h2） or O（h3） （when u belongs to H3（Ω） or H4（Ω） in broken energy norm can be estimated to be one order higher than its interpolation error, the transformation of the derivative with respect to time t, the known higher accuracy analysis of bilinear finite element and post-processing technique, the superclose property and superconvergence with order O（h2） are derived. Furthermore, the extrapolation result with higher order O（h3） is obtained through constructing a new extrapolation scheme.
同期刊论文项目
同项目期刊论文
A class of C-R type nonconforming finite element methods for parabolic variational inequality proble
A new second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-St
AN ANISOTROPIC NONCONFORMING FINITE ELEMENT METHOD FOR APPROXIMATING A CLASS OF NONLINEAR SOBOLEV EQ
H1-Galerkin nonconforming mixed finite element method for integro-differential equation of parabolic
Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonli
A locking-free anisotropic nonconforming rectangular finite element approximation for the planar ela
Low order Crouzeix-Raviart type nonconforming finite element methods for approximating Maxwell's equ
Nonconforming mixed finite element approximation to the stationary Navier-Stokes equations on anisot
A low order anisotropic nonconforming characteristic finite element method for a convection-dominate
Error estimates for rotated Q(1)(rot) element approximation of the eigenvalue problem on anisotropic
Convergence and superconvergence analysis of a new quadratic Hermite-type triangular element on anis
Low order Crouzeix-Raviart type nonconforming finite element methods for the 3D time-dependent Maxwe
A lumped mass nonconforming finite element method for nonlinear parabolic integro-differential equat
Convergence and superconvergence analysis of a nonconforming finite element method for solving the S
Convergence and asymptotic stability of Galerkin methods for a partial differential equation with pi
Low order nonconforming expanded characteristic-mixed finite element method for the convection-diffu
AN ANISOTROPIC LOCKING-FREE NONCONFORMING TRIANGULAR FINITE ELEMENT METHOD FOR PLANAR LINEAR ELASTIC
A Robust Double Set Parameter Nonconforming Rectangular Element for Fourth Order Elliptic Singular P
High accuracy analysis of the finite element method for nonlinear viscoelastic wave equations with n
A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Na
A second order nonconforming rectangular finite element method for approximating Maxwell's equations
A least squares Galerkin-Petrov nonconforming mixed finite element method for the stationary Conduct
An anisotropic nonconforming finite element scheme with moving grids for parabolic integro-different
Composite penalty method of a low order anisotropic nonconforming finite element for the Stokes prob
期刊信息
位置：