Analysis and applications of the Voronoi Implicit Interface Method. - Robert I. Saye; James A. Sethian (J. Comput. Phys., 2012)

An algorithm to mesh interconnected surfaces via the Voronoi interface. - Robert I. Saye (Eng. Comput., 2015)

High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles. - Robert I. Saye (SIAM J. Sci. Comput., 2015)

Multiscale modelling of evolving foams. - Robert I. Saye; James A. Sethian (J. Comput. Phys., 2016)

Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow: Part I. - Robert I. Saye (J. Comput. Phys., 2017)

Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow: Part II. - Robert I. Saye (J. Comput. Phys., 2017)

Higher-order temporal integration for the incompressible Navier-Stokes equations in bounded domains. - Michael L. Minion; Robert I. Saye (J. Comput. Phys., 2018)

Fast multigrid solution of high-order accurate multi-phase Stokes problems. - Robert I. Saye (CoRR, 2019)

Efficient Operator-Coarsening Multigrid Schemes for Local Discontinuous Galerkin Methods. - Daniel Fortunato; Chris H. Rycroft; Robert I. Saye (SIAM J. Sci. Comput., 2019)

Modelling wave propagation in elastic solids via high-order accurate implicit-mesh discontinuous Galerkin methods. - Vincenzo Gulizzi; Robert I. Saye (CoRR, 2021)

A Connected Component Labeling Algorithm for Implicitly-Defined Domains. - Robert I. Saye (CoRR, 2022)

High-order quadrature on multi-component domains implicitly defined by multivariate polynomials. - Robert I. Saye (J. Comput. Phys., 2022)

A comparative study of efficient multigrid solvers for high-order local discontinuous Galerkin methods: Poisson, elliptic interface, and multiphase Stokes problems. - Robert I. Saye (CoRR, 2024)

A hybrid finite difference level set-implicit mesh discontinuous Galerkin method for multi-layer coating flows. - Luke P. Corcos; Robert I. Saye; James A. Sethian (J. Comput. Phys., 2024)

Efficient multigrid solvers for mixed-degree local discontinuous Galerkin multiphase Stokes problems. - Robert I. Saye (CoRR, 2025)