Optimal L ∞ error estimates for finite element Galerkin methods for nonlinear evolution equations

被引：5

作者：

Omrani K. ^{[1
]}

机构：

[1] Institut Supérieur des Sciences Appliquées et de Technologie de Sousse

来源：

Journal of Applied Mathematics and Computing | 2008年 / 26卷 / 1-2期

关键词：

Convergence; Crank-Nicolson scheme; Existence; Extrapolation; Galerkin method; Linearization; Uniqueness;

D O I：

10.1007/s12190-007-0018-z

中图分类号：

学科分类号：

摘要：

Finite element Galerkin solutions for three classes of nonlinear evolution equations are considered. The existence, uniqueness and convergence of the fully discrete Crank-Nicolson scheme are discussed. At last a linearized Galerkin approximation is presented, which is also second order accurate in time fully discrete scheme. © 2008 The Author(s).

引用

页码：247 / 262

页数：15

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