@article{Picasso:89249,
title = {An Adaptive Finite-Element Algorithm for a 2-Dimensional Stationary Stefan-Like Problem},
author = {Picasso, M.},
journal = {Computer Methods in Applied Mechanics and Engineering},
number = {3},
volume = {124},
pages = {213-230},
year = {1995},
note = {Picasso, m, ecole polytech fed lausanne,dept math,ch-1015 lausanne,switzerland.},
abstract = {An efficient adaptive algorithm is presented for a stationary regularized Stefan problem in 2D. The adaptive criteria relies upon a posteriori estimates based on the residual equation. Since the problem we are studying is a non-linear diffusion-convection problem, these error estimates are relatively crude in the sense that the constant relating the true error to the error indicator is unknown. Thus, instead of trying to build a mesh such that the true error is below a given tolerance, the local error indicator is equidistributed in a way such that the final number of triangles is close to a desired value. At each iteration of the adaptive algorithm, the new triangulation is obtained from the previous one by adding or deleting vertices according to the error indicator and a global mesh regeneration is performed using a Delaunay mesh generator. Numerical experiments for two practical situations show the efficiency and the robustness of our approach.},
url = {http://infoscience.epfl.ch/record/89249},
doi = {10.1016/0045-7825(95)00793-Z},
}