I. Kaljevic et S. Saigal, ANALYSIS OF SYMMETRICAL DOMAINS IN ADVANCED APPLICATIONS WITH THE BOUNDARY-ELEMENT METHOD, International journal for numerical methods in engineering, 38(14), 1995, pp. 2373-2388
The strategy in the boundary element method for the analysis of symmet
ric domains that does not require the modelling of contours correspond
ing to the axes of symmetry is investigated for a number of advanced a
pplications. These applications include: treatment of domain readings,
two-dimensional time domain transient elastodynamics, and the analysi
s of probabilistic problems in elastostatics with a random geometric c
onfiguration. Both symmetric as well as arbitrary loadings acting on t
he symmetric objects are considered. A number of case studies are pres
ented to provide comparisons of computer memory and CPU time requireme
nts for the analyses of the entire object versus the analyses of only
the symmetric portion of the object. The numerical data presented clea
rly demonstrates the advantages of developing efficient symmetric form
ulations for advanced applications.