An Efficient Implementation of the Spectral Partitioning Algorithm on Connection Machine Systems. - Thomas J. R. Hughes; Zdenek Johan (25th Anniversary of INRIA, 1992)

Mesh Decomposition and Communication Procedures for Finite Element Applications on the Connection Machine CM-5 System. - Zdenek Johan; Kapil K. Mathur; S. Lennart Johnsson; Thomas J. R. Hughes (HPCN, 1994)

High-Performance Parallel Computing in Industry. - Michael Eldredge; Thomas J. R. Hughes; Robert M. Ferencz; Steven M. Rifai; Arthur Raefsky; Bruce P. Herndon (Parallel Comput., 1997)

In vivo validation of a one-dimensional finite-element method for predicting blood flow in cardiovascular bypass grafts. - Brooke N. Steele; Jing Wan; Joy P. Ku; Thomas J. R. Hughes; Charles A. Taylor (IEEE Trans. Biomed. Eng., 2003)

A Multiscale Discontinuous Galerkin Method. - Pavel B. Bochev; Thomas J. R. Hughes; Guglielmo Scovazzi (LSSC, 2005)

Mixed Discontinuous Galerkin Methods for Darcy Flow. - Franco Brezzi; Thomas J. R. Hughes; L. Donatella Marini; A. Masud (J. Sci. Comput., 2005)

Patient specific heart models from high resolution CT. - Chandrajit L. Bajaj; Samrat Goswami; Zeyun Yu; Yongjie Zhang 001; Yuri Bazilevs; Thomas J. R. Hughes (CompIMAGE, 2006)

Isogeometric analysis of blood flow: a NURBS-based approach. - Yuri Bazilevs; Yongjie Zhang 001; Victor M. Calo; Samrat Goswami; Chandrajit L. Bajaj; Thomas J. R. Hughes (CompIMAGE, 2006)

Patient-Specific Vascular NURBS Modeling for Isogeometric Analysis of Blood Flow. - Yongjie Zhang 001; Yuri Bazilevs; Samrat Goswami; Chandrajit L. Bajaj; Thomas J. R. Hughes (IMR, 2006)

Analysis of a Multiscale Discontinuous Galerkin Method for Convection-Diffusion Problems. - Annalisa Buffa; Thomas J. R. Hughes; Giancarlo Sangalli (SIAM J. Numer. Anal., 2006)

Automatic 3D Mesh Generation for a Domain with Multiple Materials. - Yongjie Zhang 001; Thomas J. R. Hughes; Chandrajit L. Bajaj (IMR, 2007)

Variational Multiscale Analysis: the Fine-scale Green's Function, Projection, Optimization, Localization, and Stabilized Methods. - Thomas J. R. Hughes; Giancarlo Sangalli (SIAM J. Numer. Anal., 2007)

Stabilized Methods for Compressible Flows. - Thomas J. R. Hughes; Guglielmo Scovazzi; Tayfun E. Tezduyar (J. Sci. Comput., 2010)

Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models. - Héctor Gómez; Thomas J. R. Hughes (J. Comput. Phys., 2011)

On linear independence of T-spline blending functions. - Xin Li 021; Jianmin Zheng; Thomas W. Sederberg; Thomas J. R. Hughes; Michael A. Scott (Comput. Aided Geom. Des., 2012)

Trivariate solid T-spline construction from boundary triangulations with arbitrary genus topology. - Wenyan Wang; Yongjie Zhang 001; Lei Liu 010; Thomas J. R. Hughes (Comput. Aided Des., 2013)

Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations. - John A. Evans; Thomas J. R. Hughes (J. Comput. Phys., 2013)

Isogeometric analysis of the advective Cahn-Hilliard equation: Spinodal decomposition under shear flow. - Ju Liu; Luca Dedè; John A. Evans; Michael J. Borden; Thomas J. R. Hughes (J. Comput. Phys., 2013)

Functional entropy variables: A new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations. - Ju Liu; Héctor Gómez; John A. Evans; Thomas J. R. Hughes; Chad M. Landis (J. Comput. Phys., 2013)

Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements. - John A. Evans; Thomas J. R. Hughes (Numerische Mathematik, 2013)

Volumetric T-spline construction using Boolean operations. - Lei Liu 010; Yongjie Zhang 001; Thomas J. R. Hughes; Michael A. Scott; Thomas W. Sederberg (Eng. Comput., 2014)

Truncated hierarchical tricubic spline construction on unstructured hexahedral meshes for isogeometric analysis applications. - Xiaodong Wei; Yongjie Jessica Zhang; Thomas J. R. Hughes (Comput. Math. Appl., 2017)

Watertight Boolean operations: A framework for creating CAD-compatible gap-free editable solid models. - Benjamin Urick; Benjamin Marussig; Elaine Cohen; Richard H. Crawford; Thomas J. R. Hughes; Richard F. Riesenfeld (Comput. Aided Des., 2019)

Polynomial splines of non-uniform degree on triangulations: Combinatorial bounds on the dimension. - Deepesh Toshniwal; Thomas J. R. Hughes (Comput. Aided Geom. Des., 2019)

An adaptive space-time phase field formulation for dynamic fracture of brittle shells based on LR NURBS. - Karsten Paul; Christopher Zimmermann; Kranthi K. Mandadapu; Thomas J. R. Hughes; Chad M. Landis; Roger Andrew Sauer (CoRR, 2019)

Multi-degree B-splines: Algorithmic computation and properties. - Deepesh Toshniwal; Hendrik Speleers; René R. Hiemstra; Carla Manni; Thomas J. R. Hughes (Comput. Aided Geom. Des., 2020)

A Tchebycheffian extension of multi-degree B-splines: Algorithmic computation and properties. - René R. Hiemstra; Thomas J. R. Hughes; Carla Manni; Hendrik Speleers; Deepesh Toshniwal (CoRR, 2020)

Tuned Hybrid Non-Uniform Subdivision Surfaces with Optimal Convergence Rates. - Xiaodong Wei; Xin Li 021; Yongjie Jessica Zhang; Thomas J. R. Hughes (CoRR, 2020)

Simulating the spread of COVID-19 via spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion. - Alex Viguerie; Guillermo Lorenzo; Ferdinando Auricchio; Davide Baroli; Thomas J. R. Hughes; Alessia Patton; Alessandro Reali; Thomas E. Yankeelov; Alessandro Veneziani (CoRR, 2020)

A matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature. - Michal Lukasz Mika; Thomas Joseph Robert Hughes; Dominik Schillinger; Peter Wriggers; René Rinke Hiemstra (CoRR, 2020)

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)

Reconstruction of Trimmed NURBS Surfaces for Gap-Free Intersections. - Benjamin Urick; Richard H. Crawford; Thomas J. R. Hughes; Elaine Cohen; Richard F. Riesenfeld (J. Comput. Inf. Sci. Eng., 2020)

A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties. - René R. Hiemstra; Thomas J. R. Hughes; Carla Manni; Hendrik Speleers; Deepesh Toshniwal (SIAM J. Numer. Anal., 2020)

Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension. - Deepesh Toshniwal; Bernard Mourrain; Thomas J. R. Hughes (Adv. Comput. Math., 2021)

Simulating the spread of COVID-19 via a spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion. - Alex Viguerie; Guillermo Lorenzo; Ferdinando Auricchio; Davide Baroli; Thomas J. R. Hughes; Alessia Patton; Alessandro Reali; Thomas E. Yankeelov; Alessandro Veneziani (Appl. Math. Lett., 2021)

A comparison of matrix-free isogeometric Galerkin and collocation methods for Karhunen-Loève expansion. - Michal Lukasz Mika; René Rinke Hiemstra; Thomas Joseph Robert Hughes; Dominik Schillinger (CoRR, 2021)

Quantitative in vivo imaging to enable tumor forecasting and treatment optimization. - Guillermo Lorenzo; David A. Hormuth II; Angela M. Jarrett; Ernesto A. B. F. Lima; Shashank Subramanian; George Biros; J. Tinsley Oden; Thomas J. R. Hughes; Thomas E. Yankeelov (CoRR, 2021)

Analysis-suitable unstructured T-splines: Multiple extraordinary points per face. - Xiaodong Wei; Xin Li 021; Kuanren Qian; Thomas J. R. Hughes; Yongjie Jessica Zhang; Hugo Casquero (CoRR, 2021)

The divergence-conforming immersed boundary method: Application to vesicle and capsule dynamics. - Hugo Casquero; Carles Bona-Casas; Deepesh Toshniwal; Thomas J. R. Hughes; Héctor Gómez; Yongjie Jessica Zhang (J. Comput. Phys., 2021)

Variationally Mimetic Operator Networks. - Dhruv Patel 001; Deep Ray; Michael R. A. Abdelmalik; Thomas J. R. Hughes; Assad A. Oberai (CoRR, 2022)

Optimized Patient-Specific Catheter Placement for Convection-Enhanced Nanoparticle Delivery in Recurrent Glioblastoma. - Chengyue Wu; David A. Hormuth; Chase Christenson; Ryan T. Woodall; Michael R. A. Abdelmalik; William T. Phillips; Thomas J. R. Hughes; Andrew J. Brenner; Thomas E. Yankeelov (SC Workshops, 2023)

Patient-specific computational forecasting of prostate cancer growth during active surveillance using an imaging-informed biomechanistic model. - Guillermo Lorenzo; Jon S. Heiselman; Michael A. Liss; Michael I. Miga; Héctor Gómez; Thomas E. Yankeelov; Alessandro Reali; Thomas J. R. Hughes (CoRR, 2023)

A simple and efficient hybrid discretization approach to alleviate membrane locking in isogeometric thin shells. - Roger A. Sauer; Zhihui Zou; Thomas J. R. Hughes (CoRR, 2023)

Image-guided patient-specific optimization of catheter placement for convection-enhanced nanoparticle delivery in recurrent glioblastoma. - Chengyue Wu; David A. Hormuth; Chase Christenson; Ryan T. Woodall; Michael R. A. Abdelmalik; William T. Phillips; Thomas J. R. Hughes; Andrew J. Brenner; Thomas E. Yankeelov (Comput. Biol. Medicine, 2024)

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)

Interpolation Neural Network-Tensor Decomposition (INN-TD): a scalable and interpretable approach for large-scale physics-based problems. - Jiachen Guo; Xiaoyu Xie; Chanwook Park; Hantao Zhang; Matthew Politis; Gino Domel; Thomas J. R. Hughes; Wing Kam Liu (CoRR, 2025)

An optimal Petrov-Galerkin framework for operator networks. - Philip Charles; Deep Ray; Yue Yu; Joost Prins; Hugo Melchers; Michael R. A. Abdelmalik; Jeffrey Cochran; Assad A. Oberai; Thomas J. R. Hughes; Mats G. Larson (CoRR, 2025)

Tensor-decomposition-based A Priori Surrogate (TAPS) modeling for ultra large-scale simulations. - Jiachen Guo; Gino Domel; Chanwook Park; Hantao Zhang; Ozgur Can Gumus; Ye Lu; Gregory J. Wagner; Dong Qian; Jian Cao; Thomas J. R. Hughes; Wing Kam Liu (CoRR, 2025)

An Entropy Stable Formulation of Two-equation Turbulence Models with Particular Reference to the k-epsilon Model. - Guillermo Hauke; Thomas J. R. Hughes (CoRR, 2025)