Marvin Fritz

Unifying local and nonlocal corrosion frameworks: A convergent nonlocal extension of the KKS phase-field model

We introduce a nonlocal extension of the Kim-Kim-Suzuki (KKS) phase-field corrosion model aimed at bridging local and nonlocal corrosion modeling approaches, such as phase-field and peridynamic frameworks. In this formulation, classical gradient operators are replaced with integr...

Rothe Time Discretization and Weak Solutions for a Cutoff Westervelt System

ABSTRACT We study a fully implicit Rothe time discretization for a cutoff first‐order formulation of the Westervelt equation. The key ingredients are the enthalpy variable and the primitive mobility variable, which turn each nonlinear time step into a uniformly monotone elliptic...