On a deficiency in unconditionally stable explicit time-integration methods in elastodynamics and heat transfer

A hybrid time/Laplace integration method

A hybrid time/Laplace integration method based on numerical Green’s functions in conduction heat transfer

✍ F.S. Loureiro; W.J. Mansur; C.A.B. Vasconcellos 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 618 KB

The present paper describes an efficient time/Laplace domain approach to analyze numerically heat conduction problems. An efficient recurrence relationship for the temperature in the time-domain, based on the Green's functions of the model, is presented. Primarily, Green's functions in nodal coordin