Explicit constants in error estimates for $H^2$ conforming finite elements for regularized nonlinear elliptic geometric evolution equations

28 Apr 2020 Kröner Axel Kröner Heiko

In the context of geometric evolution equations a common method is to use a level set function to model the evolution of surfaces in the three dimensional Euclidean space. While $C^0$ is a natural regularity in the context of viscosity solutions in special cases higher regularity is available and even necessary in order to detect level sets from the level set function in the geometrically rather non-pathological case of smooth surfaces as level sets... (read more)

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  • NUMERICAL ANALYSIS
  • NUMERICAL ANALYSIS