✦ LIBER ✦

Quadratic rate of convergence for curvature dependent smooth interfaces: A simple proof

✍ Scribed by R.H. Nochetto; M. Paolini; C. Verdi

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 595 KB
Volume: 7
Category: Article
ISSN: 0893-9659
DOI: 10.1016/0893-9659(94)90012-4

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✦ Synopsis

consider the approximation of curvature dependent geometric front evolutions by singularly perturbed parabolic double obstacle problems with small parameter E. We give a simplified proof of optimal interface error estimates of order 0(e2), valid in the smooth regime, which is based on constructing precise barriers, perturbing the forcing term and exploiting the maximum principle.