On the numerical analysis of nonlinear twofold saddle point problems

被引：58

作者：

Gatica, GN

Heuer, N

Meddahi, S

机构：

[1] Univ Concepcion, Dept Ingn Matemat, Concepcion, Chile

[2] Univ Oviedo, Dept Matemat, Oviedo 33007, Spain

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2003年 / 23卷 / 02期

关键词：

dual-dual formulation; nonlinear operator equation; fully discrete scheme; numerical quadrature;

D O I：

10.1093/imanum/23.2.301

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a general abstract theory for the solvability and Galerkin approximation of nonlinear twofold saddle point problems. In particular, a Strang error estimate containing the consistency terms arising from the approximation of the continuous operators involved is deduced. Then we apply these results to analyse a fully discrete Galerkin scheme for a twofold saddle point formulation of a nonlinear elliptic boundary value problem in divergence form. Some numerical results are also presented.

引用

页码：301 / 330

页数：30

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