Megapixel Topology Optimization on a Graphics Processing Unit

被引：68

作者：

Wadbro, Eddie ^{[2
]}

Berggren, Martin ^{[1
]}

机构：

[1] Umea Univ, Dept Comp Sci, SE-90187 Umea, Sweden

[2] Uppsala Univ, Dept Informat Technol, SE-75105 Uppsala, Sweden

来源：

SIAM REVIEW | 2009年 / 51卷 / 04期

基金：

瑞典研究理事会;

关键词：

topology optimization; Poisson's equation; GPU; HPC;

D O I：

10.1137/070699822

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show how the computational power and programmability of modern graphics processing units (GPUs) can be used to efficiently solve large-scale pixel-based material distribution problems using a gradient-based optimality criterion method. To illustrate the principle, a so-called topology optimization problem that results in a constrained nonlinear programming problem with over 4 million decision variables is solved on a commodity GPU.

引用

页码：707 / 721

页数：15

共 29 条

[1] [Anonymous], 2007, NVIDIA CUDA Compute Unified Device Architecture Programming Guide
[2] Bejan A, 2000, Shape and structure: from engineering to nature
[3] Bendse MP., 1989, Struct Optim, V1, P193, DOI [10.1007/bf01650949, DOI 10.1007/BF01650949, 10.1007/BF01650949]
[4] Bendsoe MP, 2004, Topology Optimization: Theory, Methods, and Applications
[5] Sparse matrix solvers on the GPU:: Conjugate gradients and multigrid
Bolz, J
Farmer, I
Grinspun, E
Schröder, P
[J]. ACM TRANSACTIONS ON GRAPHICS, 2003, 22 (03): : 917 - 924
[6] Borrvall T., 2001, Arch Comput Methods Eng, V8, P351, DOI DOI 10.1007/BF02743737
[7] Topology optimization of non-linear elastic structures and compliant mechanisms
Bruns, TE
Tortorelli, DA
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2001, 190 (26-27) : 3443 - 3459
[8] Dokken T., 2005, P SPRING C COMPUTER, P21
[9] DONOSO A, 2004, LAT AM J SOLIDS STRU, V1, P169
[10] Fleury C., 1989, STRUCT MULTIDISCIP O, V1, P81, DOI [10.1007/BF01637664, DOI 10.1007/BF01637664]

← 1 2 3 →