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…
Elastoplastic deformations of layered structures
Daria Drozdenko, Michal Knapek, Martin Kružík +3
We formulate a large-strain model of single-slip crystal elastoplasticity in the framework of energetic solutions. Numerical performance of the model is compared with lab experimen…
Dewetting dynamics of anisotropic particles -- a level set numerical approach
Siddharth Gavhale, Karel Svadlenka
We extend thresholding methods for numerical realization of mean curvature flow on obstacles to the anisotropic setting where interfacial energy depends on the orientation of the i…
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…
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…