High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles RI Saye SIAM Journal on Scientific Computing 37 (2), A993-A1019, 2015 | 165 | 2015 |
Multiscale Modeling of Membrane Rearrangement, Drainage, and Rupture in Evolving Foams RI Saye, JA Sethian Science 340 (6133), 720-724, 2013 | 119 | 2013 |
The Voronoi Implicit Interface Method for computing multiphase physics RI Saye, JA Sethian Proceedings of the National Academy of Sciences 108 (49), 19498-19503, 2011 | 117 | 2011 |
Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body … R Saye Journal of Computational Physics 344, 647-682, 2017 | 73 | 2017 |
Analysis and applications of the Voronoi Implicit Interface Method RI Saye, JA Sethian Journal of Computational Physics 231 (18), 6051-6085, 2012 | 69 | 2012 |
High-order methods for computing distances to implicitly defined surfaces R Saye Communications in Applied Mathematics and Computational Science 9 (1), 107-141, 2014 | 42 | 2014 |
Interfacial gauge methods for incompressible fluid dynamics R Saye Science Advances 2 (6), e1501869, 2016 | 29 | 2016 |
High-order quadrature on multi-component domains implicitly defined by multivariate polynomials RI Saye Journal of Computational Physics 448, 110720, 2022 | 22 | 2022 |
A review of level set methods to model interfaces moving under complex physics: Recent challenges and advances RI Saye, JA Sethian Elsevier, 2019 | 22 | 2019 |
Multiscale modelling of evolving foams RI Saye, JA Sethian Journal of Computational Physics 315, 273-301, 2016 | 18 | 2016 |
Efficient operator-coarsening multigrid schemes for local discontinuous Galerkin methods D Fortunato, CH Rycroft, R Saye SIAM Journal on Scientific Computing 41 (6), A3913-A3937, 2019 | 17 | 2019 |
Higher-order temporal integration for the incompressible Navier–Stokes equations in bounded domains ML Minion, RI Saye Journal of Computational Physics 375, 797-822, 2018 | 16 | 2018 |
Modeling wave propagation in elastic solids via high-order accurate implicit-mesh discontinuous Galerkin methods V Gulizzi, R Saye Computer Methods in Applied Mechanics and Engineering 395, 114971, 2022 | 15 | 2022 |
Efficient multigrid solution of elliptic interface problems using viscosity-upwinded local discontinuous Galerkin methods RI Saye Communications in Applied Mathematics and Computational Science 14 (2), 247-283, 2019 | 12 | 2019 |
Fast multigrid solution of high-order accurate multiphase Stokes problems R Saye Communications in Applied Mathematics and Computational Science 15 (2), 147-196, 2020 | 10 | 2020 |
An algorithm to mesh interconnected surfaces via the Voronoi interface RI Saye Engineering with Computers 31, 123-139, 2015 | 8 | 2015 |
Insights from high-fidelity modeling of industrial rotary bell atomization RI Saye, JA Sethian, B Petrouskie, A Zatorsky, X Lu, R Rock Proceedings of the National Academy of Sciences 120 (4), e2216709120, 2023 | 5 | 2023 |
The Voronoi Implicit Interface Method with Applications to Multiphase Fluid Flow and Multiscale Modelling of Foam Dynamics RI Saye University of California, Berkeley, 2013 | 1 | 2013 |
The Voronoi Implicit Interface Method and Computational Challenges in Multiphase Physics RI Saye, JA Sethian Milan Journal of Mathematics, 1-11, 2012 | 1 | 2012 |
A hybrid finite difference level set–implicit mesh discontinuous Galerkin method for multi-layer coating flows LP Corcos, RI Saye, JA Sethian Journal of Computational Physics 507, 112960, 2024 | | 2024 |