The Quad Layout Immersion: A Mathematically Equivalent Representation of a Surface Quadrilateral Layout. - Kendrick M. Shepherd; René R. Hiemstra; Thomas J. R. Hughes (CoRR, 2020)

Locally-verifiable sufficient conditions for exactness of the hierarchical B-spline discrete de Rham complex in Rn. - Kendrick M. Shepherd; Deepesh Toshniwal (CoRR, 2022)

Extraction of surface quad layouts from quad layout immersions: application to an isogeometric model of car crash. - Kendrick M. Shepherd; René R. Hiemstra; Xianfeng David Gu; Thomas J. R. Hughes (Eng. Comput., 2024)

Tusqh: Topological Control of Volume-Fraction Meshes Near Small Features and Dirty Geometry. - Brian Shawcroft; Kendrick M. Shepherd; Scott Mitchell (CoRR, 2025)

Construction of exact refinements for the two-dimensional HB/THB-spline de Rham complex. - Diogo C. Cabanas; Kendrick M. Shepherd; Deepesh Toshniwal; Rafael Vázquez (CoRR, 2025)

Counterexamples to Proofs for Volumetric Parameterization of Topological Sweeps. - Caleb B. Goates; Kendrick M. Shepherd (CoRR, 2025)