Discontinuous Galerkin methods on graphics processing units for nonlinear hyperbolic conservation laws. - Martin Fuhry; Andrew Giuliani; Lilia Krivodonova (CoRR, 2016)

Edge coloring in unstructured CFD codes. - Andrew Giuliani; Lilia Krivodonova (CoRR, 2016)

Face coloring in unstructured CFD codes. - Andrew Giuliani; Lilia Krivodonova (Parallel Comput., 2017)

Analysis of slope limiters on unstructured triangular meshes. - Andrew Giuliani; Lilia Krivodonova (J. Comput. Phys., 2018)

Adaptive mesh refinement on graphics processing units for applications in gas dynamics. - Andrew Giuliani; Lilia Krivodonova (J. Comput. Phys., 2019)

A Moment Limiter for the Discontinuous Galerkin Method on Unstructured Triangular Meshes. - Andrew Giuliani; Lilia Krivodonova (SIAM J. Sci. Comput., 2019)

A moment limiter for the discontinuous Galerkin method on unstructured tetrahedral meshes. - Andrew Giuliani; Lilia Krivodonova (J. Comput. Phys., 2020)

A state redistribution algorithm for finite volume schemes on cut cell meshes. - Marsha Berger; Andrew Giuliani (J. Comput. Phys., 2021)

SIMSOPT: A flexible framework for stellarator optimization. - Matt Landreman; Bharat Medasani; Florian Wechsung; Andrew Giuliani; Rogerio Jorge; Caoxiang Zhu (J. Open Source Softw., 2021)

A weighted state redistribution algorithm for embedded boundary grids. - Andrew Giuliani; Ann S. Almgren; John B. Bell; Marsha J. Berger; Marc T. Henry de Frahan; Deepak Rangarajan (J. Comput. Phys., 2022)

Single-stage gradient-based stellarator coil design: Optimization for near-axis quasi-symmetry. - Andrew Giuliani; Florian Wechsung; Antoine J. Cerfon; Georg Stadler; Matt Landreman (J. Comput. Phys., 2022)

A Two-Dimensional Stabilized Discontinuous Galerkin Method on Curvilinear Embedded Boundary Grids. - Andrew Giuliani (SIAM J. Sci. Comput., 2022)

A New Provably Stable Weighted State Redistribution Algorithm. - Marsha J. Berger; Andrew Giuliani (SIAM J. Sci. Comput., 2024)