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math.NA2020★ 2 cited
A Crank-Nicolson type minimization scheme for a hyperbolic free boundary problem
Yoshiho Akagawa, Elliott Ginder, Syota Koide +2
We consider a hyperbolic free boundary problem by means of minimizing time discretized functionals of Crank-Nicolson type. The feature of this functional is that it enjoys energy c…
math.NA2012★ 1 cited
A variational method for multiphase area-preserving interface motions
Karel Svadlenka, Elliott Ginder, Seiro Omata
We develop a numerical method for realizing mean curvature motion of interfaces separating multiple phases, whose areas are preserved throughout time. The foundation of the method…