A POSTERIORI ERROR ESTIMATES FOR PRESSURE-CORRECTION SCHEMES

被引：9

作者：

Baensch, E. ^{[1
]}

Brenner, A. ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Appl Math 3, D-91058 Erlangen, Germany

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2016年 / 54卷 / 04期

关键词：

a posteriori error analysis; projection methods; fractional step methods; Navier-Stokes equations; BDF2; reconstruction; backward Euler; NAVIER-STOKES EQUATIONS; PARABOLIC PROBLEMS; PROJECTION METHODS; ELLIPTIC RECONSTRUCTION; HEAT-EQUATION; DISCRETIZATION; APPROXIMATIONS; CONVERGENCE;

D O I：

10.1137/15M102753X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A posteriori error estimates for time discretization of the incompressible Stokes equations by pressure-correction methods are presented. We rigorously prove global upper bounds for the incremental backward Euler scheme as well as for the two-step backward differential formula method (BDF2) in rotational form. Moreover, rate optimality of the estimators is stated for velocity (in the case of backward Euler and BDF2 in rotational form) and pressure (in the case of Euler). Computational experiments confirm the theoretical results.

引用

页码：2323 / 2358

页数：36

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