A posteriori optimization of parameters in stabilized methods for convection-diffusion problems - Part I

被引：32

作者：

John, Volker ^{[1
,2
]}

Knobloch, Petr ^{[3
]}

Savescu, Simona B. ^{[1
]}

机构：

[1] Weierstrass Inst Appl Anal & Stochast WIAS, D-10117 Berlin, Germany

[2] Free Univ Berlin, Dept Math & Comp Sci, D-14195 Berlin, Germany

[3] Charles Univ Prague, Fac Math & Phys, Dept Numer Math, Prague 18675 8, Czech Republic

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2011年 / 200卷 / 41-44期

关键词：

Stabilized finite element methods; Parameter optimization by minimizing a target functional; SUPG method; FINITE-ELEMENT-METHODS; DIMINISHING SOLD METHODS; NAVIER-STOKES EQUATIONS; SPURIOUS OSCILLATIONS; DOMINATED FLOWS; FORMULATION; TRANSPORT; DESIGN; MODEL; TIME;

D O I：

10.1016/j.cma.2011.04.016

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Stabilized finite element methods for convection-dominated problems require the choice of appropriate stabilization parameters. From numerical analysis, often only their asymptotic values are known. This paper presents a general framework for optimizing stabilization parameters with respect to the minimization of a target functional. Exemplarily, this framework is applied to the SUPG finite element method and the minimization of a residual-based error estimator, an error indicator, and a functional including the crosswind derivative of the computed solution. Benefits of the basic approach are demonstrated by means of numerical results. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：2916 / 2929

页数：14

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