MULTIPLY SCALED CONSTRAINED NONLINEAR
作者:
Joe Padovan,
Lala Krishna,
期刊:
Numerical Heat Transfer
(Taylor Available online 1986)
卷期:
Volume 10,
issue 5
页码: 463-482
ISSN:0149-5720
年代: 1986
DOI:10.1080/10407788608913529
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
To improve the numerical stability of nonlinear equation solvers, a partitioned multiply scaled constraint scheme is developed. This scheme enables hierarchical levels of control for nonlinear equation solvers. To complement the procedure, partitioned convergence checks are established along with self-adaptive partitioning schemes. Overall, such procedures greatly enhance the numerical stability of the original solvers. To demonstrate and motivate the development of the scheme, the problem of nonlinear heat conduction is considered. In this context the main emphasis is given to successive substitution-type schemes. To verify the improved numerical characteristics associated with partitioned multiply scaled solvers, results are presented for several benchmark examples.
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