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The arc length method is applied to a class of stiff parabolic problems related to heat conduction and radiation. The resulting system of nonlinear equations is solved by iteration not only on the temperature vector, but also on the current time step. The procedure is linked with an a posteriori analysis of the time integration error. In addition, a quasi-Newton method is used to obtain approximate factorisations of the Jacobian matrix during the iterative process.

Additional information

Authors: SORIA A, JRC Ispra (IT);PEGON P, JRC Ispra (IT)
Bibliographic Reference: Paper presented: Heat Transfer 90, Portsmouth (GB), July 17-20, 1990
Availability: Available from (1) as Paper EN 35397 ORA
Record Number: 199010885 / Last updated on: 1994-12-01
Original language: en
Available languages: en