Multigrid accelerated cellular automata for structural design optimization: A 1-D implementation

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

Volumn 2, Issue , 2004, Pages 1453-1466

  Kim, Sunwook ^a,b   Abdalla, Mostafa M ^a,b   Gürdal, Zafer ^a,c   Jones, Mark ^a,b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b Dept of Aerosp and Ocean Eng ^*

^c DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CELLULAR AUTOMATA; MULTI-RESOLUTION MULTI-SCALE TOPOLOGY OPTIMIZATION (MTOP); MULTIGRID CYCLES; NUMERICAL INSTABILITY;

ACCELERATION; ALGORITHMS; AVIATION; BENDING MOMENTS; FINITE ELEMENT METHOD; ITERATIVE METHODS; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS; TOPOLOGY;

STRUCTURAL DESIGN;

EID: 16244418387     PISSN: 02734508     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

1. Abdalla, M. and Gürdal, Z. Structural design using optimality based cellular automata. In AIAA-2002-1676, Proceedings of the 43rd AIAA/ASME /ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Denver CO, April 22-25 2002.
2. Abdalla, M. and Gürdal, Z. Structural design using cellular automata for eigenvalue problems. In Structural and Multi-disciplinary Optimization, Vol 26, No. 3-4, pp. 200-208., 2004.
3. Hackbush, W. Multigrid methods and applications. Springer., 1985.
4. Wesseling. An Introduction to Multigrid Methods. Wiley., 1992.
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8. Jones, M., Plassmann, P., and Gürdal, Z. Efficient algorithms for iterative refinement based on configurable precision arithmetic. In Submitted for publication in SIAM Journal On Matrix Analysis and Applications.
9. Briggs, W. L. A Multigrid Tutorial. SIAM., 1987.