DISCONTINUOUS GALERKIN APPROXIMATIONS OF THE STOKES AND NAVIER-STOKES EQUATIONS

被引：32

作者：

Chrysafinos, Konstantinos ^{[1
]}

Walkington, Noel J. ^{[2
]}

机构：

[1] Natl Tech Univ Athens, Dept Math, Sch Appl Math & Phys Sci, Athens 15780, Greece

[2] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA

来源：

MATHEMATICS OF COMPUTATION | 2010年 / 79卷 / 272期

基金：

美国国家科学基金会;

关键词：

Navier Stokes; Discontinuous Time Stepping; ADVECTION-DIFFUSION EQUATIONS; FINITE-ELEMENT APPROXIMATION; SPATIAL DISCRETIZATION; PARABOLIC EQUATIONS; CONVERGENCE; TIME;

D O I：

10.1090/S0025-5718-10-02348-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Numerical schemes to compute approximate solutions of the evolutionary Stokes and Navier-Stokes equations are studied. The schemes are discontinuous in time and conforming in space and of arbitrarily high order. Fully-discrete error estimates are derived and dependence of the viscosity constant is carefully tracked. It is shown that the errors are bounded by projection errors of the exact solution which exhibit optimal rates when the solutions are smooth.

引用

页码：2135 / 2167

页数：33

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