Data di Pubblicazione:
1997
Citazione:
Adapting meshes and time-steps for phase change problems / R.H. Nochetto, A. Schmidt, C. Verdi. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 8:4(1997), pp. 273-292.
Abstract:
We address the numerical approximation of the two-phase Stefan problem and discuss an adaptive finite element method based on rigorous a posteriori error estimation and refinement/coarsening. We also investigate how to restrict coarsening for the resulting method to be stable and convergent. We review implementation issues associated with bisection and conclude with simulations of a persistent corner singularity, for which adaptivity is an essential tool.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
A posteriori estimates; Adaptivity; Degenerate parabolic equations; Finite elements; Stefan problem
Elenco autori:
R.H. Nochetto, A. Schmidt, C. Verdi
Link alla scheda completa: