Transient heat conduction under nonzero initial conditions: A solution using the boundary element method in the frequency domain

A boundary element method formulation is proposed to solve the diffusion equation under nonzero initial conditions. The problem is solved in the frequency domain, considering only the conduction phenomenon. Complex frequencies are used to avoid aliasing and to allow the computation of the static response. Two numerical examples are given to illustrate the effectiveness of this approach for solving 2-D diffusion equations.