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：
J. Appl. Math. Comp. | 2008年 / 1-2卷 / 247-262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).
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页码：247 / 262
页数：15
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