Non-linear structural response using adaptive dynamic relaxation on a massively parallel-processing system

International Journal for Numerical Methods in Engineering

Volumn 39, Issue 2, 1996, Pages 235-259

  Oakley, David R ^a   Knight Jr , Norman F ^b,c  

^a APPLIED RESEARCH ASSOCIATES   (United States)

^b OLD DOMINION UNIVERSITY   (United States)

^c Department of Aerospace Engineering ^*

Author keywords

Dynamic relaxation; Non linear mechanics; Parallel processing

Indexed keywords

COMPUTERS; DYNAMIC RESPONSE; MECHANICS; NONLINEAR EQUATIONS; PARALLEL ALGORITHMS; PARALLEL PROCESSING SYSTEMS; PERFORMANCE; PROBLEM SOLVING; RELAXATION PROCESSES; STRUCTURAL ANALYSIS; VECTORS;

ADAPTIVE DYNAMIC RELAXATION; NONLINEAR MECHANICS; NONLINEAR STRUCTURES; SINGLE PROCESSOR COMPUTERS;

ADAPTIVE ALGORITHMS;

EID: 0029751460     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19960130)39:2<235::AID-NME855>3.0.CO;2-W     Document Type: Article

References (9)

1. T. Belytschko, N. Holmes and R. Mullen, 'Explicit integration - stability, solution properties, cost,' in T. Belytschko, J. R. Oasis and P. V. Marcal (eds.), Finite Element Analysis of Transient Nonlinear Structural behavior, AMD-Vol. 14, ASME, New York, 1975, pp. 1-22.
2. J. G. Malone, 'Automated mesh decomposition and concurrent finite element analysis for hypercube multiprocessor computers,' Computer Methods Applied Mech. Eng., 70, 27-58 (1988).
3. C. Farhat, N. Sobh and K. C. Part, 'dynamic finite element simulations on the connection machine,' Int. J. High Speed Comput., 1, 289-302 (1989).
4. C. Farhat, N. Sobh, and K. C. Park, 'Transient finite element computations on 65, 536 processors: the connection machine,' j. numer. methods eng., 30, 27-55 (1990).
5. M. Papadrakakis, 'Post-buckling analysis of spatial structures by vector iteration methods,' COmput. Struct., 14, 393-402 (1981)
6. M. Papadrakakis, 'A family of methods with three-term recursion formulae,' Int. j. numer. methods eng., 18, 1785-1799 (1982).
7. V. Sunderam. 'PVM: A framework for parallel distributed computing.' Department of Mathematics and Computer Science, Emory University, Atlanta, GA, ORNL/TM-11375, 1990.
8. C. Aykanat, F. Ozguner, F. Ercal and P. Sadayappan. 'Iterative algorithms for solution of large sparse systems of linear equations on hypercubes,' IEEE Trans. Comput., 37, 1554-1568 (1988).
9. P. Sadayappan and F. Ercal, 'Nearest-neighbor mapping of finite element graphs onto processor meshes,' IEEE Trans. Comput., 36, 1408-1424 (1987).