Electronic Resource
Springer
Calculus of variations and partial differential equations
4 (1996), S. 27-58
ISSN:
1432-0835
Keywords:
65N15
;
49Q05
;
65N30
;
53A10
;
65N38
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We prove optimal convergence results for discrete approximations to (possibly unstable) minimal surfaces. This appears to be the first class of results of this type for geometric objects solving a highly non-linear geometric variational problem. We introduce a number of new techniques which we expect will be of use in other geometric problems. The theoretical approximation results are confirmed by numerical test computations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01322308
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