Robust topology optimization using a posteriori error estimator for the finite element method

被引：3

作者：

Pimanov, Vladislav ^{[1
]}

Oseledets, Ivan ^{[1
,2
]}

机构：

[1] Skolkovo Inst Sci & Technol, Nobel St 3, Moscow, Russia

[2] Russian Acad Sci, Inst Numer Math, Gubkin St 8, Moscow, Russia

来源：

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2018年 / 58卷 / 04期

关键词：

Topology optimization; Heat conduction; Finite element method; A posteriori error estimation; Checkerboards; HEAT-CONDUCTION PROBLEM; LEVEL SET METHOD; OPTIMAL-DESIGN; CHECKERBOARD PATTERNS; SHAPE; CONSTRAINT; SLOPE;

D O I：

10.1007/s00158-018-1985-4

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In our work, we consider the classical density-based approach to the topology optimization. We propose to modify the discretized cost functional using a posteriori error estimator for the finite element method. It can be regarded as a new technique to prevent checkerboards. It also provides higher regularity of solutions and robustness of results.

引用

页码：1619 / 1632

页数：14

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