A Dual Reciprocity Boundary Element Method is formulated to solve non-linear heat conduction problems. The approach is based on using the Kirchhoff transform along with lagging of the effective non-linear thermal diffusivity. A posteriori error estimate is used to provide effective estimates of the temporal and spatial error. A numerical example is used to demonstrate the approach.
Computers, Materials & Continua
Tech Science Press
Scholarly Commons Citation
Divo, E., & Kassab, A. J. (2005). Transient Non-linear Heat Conduction Solution by a Dual Reciprocity Boundary Element Method with an Effective Posteriori Error Estimator. Computers, Materials & Continua, 2(4). https://doi.org/10.3970/cmc.2005.002.277