3 papers
math.NA2016
An extrapolative approach to integration over hypersurfaces in the level set framework
Catherine Kublik, Richard Tsai
We provide a new approach for computing integrals over hypersurfaces in the level set framework. The method is based on the discretization (via simple Riemann sums) of the classica…
math.NA2016
An implicit boundary integral method for interfaces evolving by Mullins-Sekerka dynamics
Chieh Chen, Catherine Kublik, Richard Tsai
We present an algorithm for computing the nonlinear interface dynamics of the Mullins-Sekerka model for interfaces that are defined implicitly (e.g. by a level set function) using…
math.NA2015
Integration over curves and surfaces defined by the closest point mapping
Catherine Kublik, Richard Tsai
We propose a new formulation for integrating over smooth curves and surfaces that are described by their closest point mappings. Our method is designed for curves and surfaces that…