A PRIORI L~2 ERROR ESTIMATES FOR GALERKIN METHODS FOR NONLINEAR SOBOLEV EQUATIONS

被引：1

作者：

林延平

机构：

[1] China

[2] Shenyang Institute of Computing Technology Academia Sinica

来源：

Journal of Systems Science & Complexity | 1990年 / 02期

关键词：

Error estimates; Galerkin method; Sobolev equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we study Galerkin approximations to the solution of the nonlinearSobolev equation c(u)u=▽·{a(u)▽u+b(u)▽u}+f(u)in two spatial dimensions and deriveoptimal L~2 error estimates for the continuous-time,Crank-Nicolson and extrapolated Crank-Nicolson discrete-time approximations.

引用

页码：126 / 135

页数：10

共 50 条

[1] A priori error estimates for interior penalty discontinuous Galerkin method applied to nonlinear Sobolev equations
Sun, Tongjun
Yang, Danping
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 200 (01) : 147 - 159
[2] L2-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations
Ohm, Mi Ray
Lee, Hyun Young
Shin, Jun Yong
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
[3] PRIORI L2-ERROR ESTIMATES FOR GALERKIN APPROXIMATIONS TO PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
WHEELER, MF
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (02): : 377 - &
[4] Optimal L ∞ error estimates for finite element Galerkin methods for nonlinear evolution equations
Omrani K.
[J]. Journal of Applied Mathematics and Computing, 2008, 26 (1-2) : 247 - 262
[5] PRIORI L2 ERROR ESTIMATES FOR GALERKIN APPROXIMATIONS TO PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
WHEELER, MF
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1973, 10 (04) : 723 - 759
[6] L2-error analysis of discontinuous Galerkin approximations for nonlinear Sobolev equations
Mi Ray Ohm
Hyun Young Lee
Jun Yong Shin
[J]. Japan Journal of Industrial and Applied Mathematics, 2013, 30 : 91 - 110
[7] L2-error analysis of discontinuous Galerkin approximations for nonlinear Sobolev equations
Ohm, Mi Ray
Lee, Hyun Young
Shin, Jun Yong
[J]. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2013, 30 (01) : 91 - 110
[8] Error estimates for a discontinuous Galerkin method with interior penalties applied to nonlinear Sobolev equations
Sun, Tongjun
Yang, Danping
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2008, 24 (03) : 879 - 896
[9] A PRIORI L2 ERROR-ESTIMATES FOR GALERKIN APPROXIMATIONS TO SEMILINEAR PARABOLIC INTEGRODIFFERENTIAL EQUATIONS
LIN, YP
[J]. TRANSPORT THEORY, INVARIANT IMBEDDING, AND INTEGRAL EQUATIONS: PROCEEDINGS IN HONOR OF G M WINGS 65TH BIRTHDAY, 1989, 115 : 421 - 424
[10] Multiadaptive Galerkin methods for ODEs III: A priori error estimates
Logg, A
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 43 (06) : 2624 - 2646

← 1 2 3 4 5 →