Hybrid Laplace transform/finite element method for one-dimensional transient heat conduction problems
The powerful method of analysis, involving the combined use of the Laplace transform and the finite element method, is applicable to the problem of time-dependent heat flow systems. The present method removes the time terms using the Laplace transform and then solves the associated equation with the finite element method. The associated temperature is inverted by the method of Honig and Hirdes. The present results are compared in tables with the corresponding exact solutions. It is found that the present method is stable and convergent to the exact solution. There exist no time step, thus the present method is a useful tool in solving long-time problems.
removes the time terms using the Laplace transform
scientific article; zbMATH DE number 3982724