Article
MSC:
35B35,
35K55,
35K93,
53C42,
65M06,
65M08,
65M12,
68U10,
76M25 | MR 2399901 | Zbl 1199.35197 | DOI: 10.1007/s10492-008-0015-z
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Keywords:
mean curvature flow; level set equation; numerical solution; semi-implicit scheme; complementary volume method; unconditional stability; consistency
mean curvature flow; level set equation; numerical solution; semi-implicit scheme; complementary volume method; unconditional stability; consistency
Summary:
We show stability and consistency of the linear semi-implicit complementary volume numerical scheme for solving the regularized, in the sense of Evans and Spruck, mean curvature flow equation in the level set formulation. The numerical method is based on the finite volume methodology using the so-called complementary volumes to a finite element triangulation. The scheme gives the solution in an efficient and unconditionally stable way.
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