This paper deals with iterative algorithms for domain decomposition suitable for singular perturbation problems. Convergence results are established for one-dimensional and two-dimensional problems. Decomposition into subdomains is accomplished via singular perturbation character of problems. Numerical examples are presented. The developed parallel iterative algorithm is compared with the Schwarz alternating procedure.
机构:
BHU, Dept Math Sci, Indian Inst Technol, Varanasi 221005, Uttar Pradesh, IndiaBHU, Dept Math Sci, Indian Inst Technol, Varanasi 221005, Uttar Pradesh, India
Singh, Joginder
Kumar, Sunil
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BHU, Dept Math Sci, Indian Inst Technol, Varanasi 221005, Uttar Pradesh, IndiaBHU, Dept Math Sci, Indian Inst Technol, Varanasi 221005, Uttar Pradesh, India
Kumar, Sunil
Kumar, Mukesh
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Coll Charleston, Dept Math, Charleston, SC 29424 USABHU, Dept Math Sci, Indian Inst Technol, Varanasi 221005, Uttar Pradesh, India
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Federal Research Center “Computer Science and Control,” Russian Academyof Sciences, Moscow
Samara University, SamaraFederal Research Center “Computer Science and Control,” Russian Academyof Sciences, Moscow