TY - JOUR
T1 - The discrete Douglas problem
T2 - Convergence results
AU - Pozzi, Paola
PY - 2005/4
Y1 - 2005/4
N2 - We solve the problem of finding and justifying an optimal fully discrete finite-element procedure for approximating annulus-like, possibly unstable, minimal surfaces. In a previous paper we introduced the general framework, obtained some preliminary estimates, developed the ideas used for the algorithm, and gave numerical results. In this paper we prove convergence estimates.
AB - We solve the problem of finding and justifying an optimal fully discrete finite-element procedure for approximating annulus-like, possibly unstable, minimal surfaces. In a previous paper we introduced the general framework, obtained some preliminary estimates, developed the ideas used for the algorithm, and gave numerical results. In this paper we prove convergence estimates.
KW - Douglas problem
KW - Finite elements
KW - Minimal surfaces
KW - Order of convergence
UR - http://www.scopus.com/inward/record.url?scp=25844514747&partnerID=8YFLogxK
U2 - 10.1093/imanum/drh019
DO - 10.1093/imanum/drh019
M3 - Article
SN - 0272-4979
VL - 25
SP - 337
EP - 378
JO - IMA Journal of Numerical Analysis
JF - IMA Journal of Numerical Analysis
IS - 2
ER -