STABILITY OF THE MULTIPLE RECIPROCITY METHOD FOR TRANSIENT HEAT-CONDUCTION

Authors
RAMESH PS LEAN MH
Citation
Ps. Ramesh et Mh. Lean, STABILITY OF THE MULTIPLE RECIPROCITY METHOD FOR TRANSIENT HEAT-CONDUCTION, Communications in numerical methods in engineering, 9(7), 1993, pp. 629-634
Citations number
8
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Engineering
Journal title
Communications in numerical methods in engineering → ACNP
ISSN journal
10698299
Volume
9
Issue
7
Year of publication
1993
Pages
629 - 634
Database
ISI
SICI code
1069-8299(1993)9:7<629:SOTMRM>2.0.ZU;2-R
Abstract
The multiple reciprocity method is based on using higher-order fundame ntal solutions to eliminate domain integrals encountered in transient boundary integral formulations. The paper considers the numerical stab ility of this approach through an eigenvalue decomposition of the syst em matrix. We demonstrate that the multiple reciprocity method for tra nsient heat conduction is stable only for appropriately chosen time st eps.