Efficient Delaunay Mesh Generation from Sampled Scalar Functions. - Samrat Goswami; Andrew Gillette; Chandrajit L. Bajaj (IMR, 2007)

Quality Meshing of a Forest of Branching Structures. - Chandrajit L. Bajaj; Andrew Gillette (IMR, 2008)

Topology Based Selection and Curation of Level Sets. - Chandrajit Bajaj; Andrew Gillette; Samrat Goswami (Topology-Based Methods in Visualization II, 2009)

Stable mesh decimation. - Chandrajit L. Bajaj; Andrew Gillette; Qin Zhang 005 (Symposium on Solid and Physical Modeling, 2009)

Complementary Space for Enhanced Uncertainty and Dynamics Visualization - Chandrajit L. Bajaj; Andrew Gillette; Samrat Goswami; Bong June Kwon; Jose Rivera (CoRR, 2009)

A generalization for stable mixed finite elements. - Andrew Gillette; Chandrajit L. Bajaj (Symposium on Solid and Physical Modeling, 2010)

Dual Formulations of Mixed Finite Element Methods - Andrew Gillette; Chandrajit L. Bajaj (CoRR, 2010)

Complementary Space for Enhanced Uncertainty and Dynamics Visualization. - Chandrajit Bajaj; Andrew Gillette; Samrat Goswami; Bong June Kwon; Jose Rivera (Topological Methods in Data Analysis and Visualization, 2011)

Dual formulations of mixed finite element methods with applications. - Andrew Gillette; Chandrajit L. Bajaj (Comput. Aided Des., 2011)

Error estimates for generalized barycentric interpolation. - Andrew Gillette; Alexander Rand; Chandrajit L. Bajaj (Adv. Comput. Math., 2012)

Interpolation error estimates for mean value coordinates over convex polygons. - Alexander Rand; Andrew Gillette; Chandrajit L. Bajaj (Adv. Comput. Math., 2013)

Quadratic serendipity finite elements on polygons using generalized barycentric coordinates. - Alexander Rand; Andrew Gillette; Chandrajit L. Bajaj (Math. Comput., 2014)

Gradient Bounds for Wachspress Coordinates on Polytopes. - Michael S. Floater; Andrew Gillette; N. Sukumar (SIAM J. Numer. Anal., 2014)

Geometric modeling and processing 2015. - Mario Botsch; Falai Chen; Andrew Gillette (Comput. Aided Geom. Des., 2015)

Construction of Scalar and Vector Finite Element Families on Polygonal and Polyhedral Meshes. - Andrew Gillette; Alexander Rand; Chandrajit Bajaj (Comput. Methods Appl. Math., 2016)

Nodal Bases for the Serendipity Family of Finite Elements. - Michael S. Floater; Andrew Gillette (Found. Comput. Math., 2017)

Extending Discrete Exterior Calculus to a Fractional Derivative. - Justin Crum; Joshua A. Levine; Andrew Gillette (Comput. Aided Des., 2019)

Trimmed serendipity finite element differential forms. - Andrew Gillette; Tyler Kloefkorn (Math. Comput., 2019)

Data-driven geometric scale detection via Delaunay interpolation. - Andrew Gillette; Eugene Kur (CoRR, 2022)

Bringing Trimmed Serendipity Methods to Computational Practice in Firedrake. - Justin Crum; Cyrus Cheng; David A. Ham; Lawrence Mitchell; Robert C. Kirby; Joshua A. Levine; Andrew Gillette (ACM Trans. Math. Softw., 2022)

A multifidelity Bayesian optimization method for inertial confinement fusion design. - Jingyi Wang; Nai Yuan Chiang; Andrew Gillette; J. Luc Peterson (CoRR, 2023)

Learning Robust Marking Policies for Adaptive Mesh Refinement. - Andrew Gillette; Brendan Keith; Socratis Petrides (SIAM J. Sci. Comput., 2024)

Algorithm 1049: The Delaunay Density Diagnostic. - Andrew Gillette; Eugene Kur (ACM Trans. Math. Softw., 2024)

Leveraging interpolation models and error bounds for verifiable scientific machine learning. - Tyler H. Chang; Andrew Gillette; Romit Maulik (J. Comput. Phys., 2025)