89249
20181203020530.0
0045-7825
10.1016/0045-7825(95)00793-Z
doi
A1995RM28900002
ISI
ARTICLE
An Adaptive Finite-Element Algorithm for a 2-Dimensional Stationary Stefan-Like Problem
1995
1995
Journal Articles
Picasso, m, ecole polytech fed lausanne,dept math,ch-1015 lausanne,switzerland.
ISI Document Delivery No.: RM289
Times Cited: 5
Cited Reference Count: 48
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.
POSTERIORI ERROR ESTIMATORS
PARABOLIC PROBLEMS
LINEAR SCHEME
SOLIDIFICATION
IMPLEMENTATION
TRIANGULATIONS
SIMULATION
EQUATIONS
Picasso, M.
106096
241282
213-230
3
Computer Methods in Applied Mechanics and Engineering
124
ASN
252201
U10795
oai:infoscience.tind.io:89249
article
SB
ASN-ARTICLE-1995-002
95/ASN
EPFL
PUBLISHED
REVIEWED
ARTICLE