2 citations · 3 across the 6 of their papers we have counts for
6 papers
Approximation and application of minimizing movements for surface PDE
Elliott Ginder, Karel Svadlenka, Takuma Muramatsu
By employing the closest point method, we extend the applicability of minimizing movements to the surface PDE setting. The corresponding approximation methods are created, and thei…
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…
On the inclusion of damping terms in the hyperbolic MBO algorithm
Elliott Ginder, Ayumu Katayama
The hyperbolic MBO is a threshold dynamic algorithm which approximates interfacial motion by hyperbolic mean curvature flow. We introduce a generalization of this algorithm for imp…
A variational approach to the inverse imaging of composite elastic materials
Elliott Ginder, Riku Kanai
We introduce a framework for performing the inverse imaging of composite elastic materials. Our technique uses surface acoustic wave (SAW) boundary observations within a minimizati…
Wave-type threshold dynamics and the hyperbolic mean curvature flow
Elliott Ginder, Karel Svadlenka
We introduce a method for computing interfacial motions governed by curvature dependent acceleration. Our method is a thresholding algorithm of the BMO-type which, instead of utili…
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…