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• W2051266368 abstract "This paper develops a hierarchical least square solution algorithm for highly nonlinear heat transfer problems. The methodology's capability is such that both steady and transient implicit formulations can be handled. This includes problems arising from highly nonlinear heat transfer systems modeled by either finite-element or finite-difference schemes. The overall procedure developed enables localized updating, iteration, and convergence checking as well as constraint application. The localized updating can be performed at a variety of hierarchical levels, i.e., degree of freedom, substructural, material-nonlinear groups, and/or boundary groups. The choice of such partitions can be made via energy partitioning or nonlinearity levels as well as by user selection. Overall, this leads to extremely robust computational characteristics. To demonstrate the methodology, problems are drawn from nonlinear heat conduction. These are used to quantify the robust capabilities of the hierarchical least square scheme." @default.
• W2051266368 created "2016-06-24" @default.
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• W2051266368 date "1987-10-01" @default.
• W2051266368 modified "2023-09-23" @default.
• W2051266368 title "STEADY AND TRANSIENT LEAST SQUARE SOLVERS FOR THERMAL PROBLEMS" @default.
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• W2051266368 doi "https://doi.org/10.1080/10407788708913586" @default.
• W2051266368 hasPublicationYear "1987" @default.
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