... of the transient heat conduction and the distribution characteristic of the Green’s function, a quasi-superposition principle is presented for the transient heat conduction problems with local nonlinearities. Then, an efficient method is developed, which indicates that the solution of the original nonlinear...

... boundary value problem with flow velocity and temperature as the desired unknowns. In the first step, the conditions that guarantee the existence of a unique solution are obtained. Then following Green’s function-based approach, an iterative method for solving the problem is developed. Findings...

... of the volume and surface integrals is also expensive, although this can be accelerated by fast algorithms such as the fast multipole method (FMM) (Greengard and Rokhlin, 1987 ; Beatson and Greengard, 1997). Conservative vector field Far-field boundary condition Green’s function Penalization method...