SHARP ERROR ANALYSIS FOR CURVATURE DEPENDENT EVOLVING FRONTS
1993 ◽
Vol 03
(06)
◽
pp. 711-723
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Keyword(s):
The evolution of a curvature dependent interface is approximated via a singularly perturbed parabolic double obstacle problem with small parameter ε>0. The velocity normal to the front is proportional to its mean curvature plus a forcing term. Optimal interface error estimates of order [Formula: see text] are derived for smooth evolutions, that is before singularities develop. Key ingredients are the construction of sub(super)-solutions containing several shape corrections dictated by formal asymptotics, and the use of a modified distance function.
2006 ◽
Vol 27
(3)
◽
pp. 576-592
◽
2018 ◽
Vol 18
(3)
◽
pp. 451-475
◽
2011 ◽
Vol 61
(3)
◽
pp. 344-355
◽
2008 ◽
Vol 57
(5)
◽
pp. 2235-2256
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Keyword(s):
2021 ◽
Vol 29
(2)
◽
pp. 126-145