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Abstract

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 ESTAB. (IT);PEGON P JRC ISPRA ESTAB. (IT), JRC ISPRA ESTAB. (IT)
Bibliographic Reference: PAPER PRESENTED: HEAT TRANSFER 90, PORTSMOUTH (GB), JULY 17-20, 1990 AVAILABLE FROM COMMISSION OF THE EUROPEAN COMMUNITIES, DG XIII-C-3, L-2920 LUXEMBOURG AS PAPER EN 35397 ORA
Availability: Can be ordered online
Record Number: 1989128081700 / Last updated on: 1990-11-01
Category: PUBLICATION
Original language: EN
Available languages: en