Thomas J. R. Hughes

Orcid: 0000-0001-7024-8368

Affiliations:
  • University of Texas at Austin, TX, USA


According to our database1, Thomas J. R. Hughes authored at least 44 papers between 1992 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Image-guided patient-specific optimization of catheter placement for convection-enhanced nanoparticle delivery in recurrent glioblastoma.
Comput. Biol. Medicine, 2024

2023
A simple and efficient hybrid discretization approach to alleviate membrane locking in isogeometric thin shells.
CoRR, 2023

Patient-specific computational forecasting of prostate cancer growth during active surveillance using an imaging-informed biomechanistic model.
CoRR, 2023

Optimized Patient-Specific Catheter Placement for Convection-Enhanced Nanoparticle Delivery in Recurrent Glioblastoma.
Proceedings of the SC '23 Workshops of The International Conference on High Performance Computing, 2023

2022
Variationally Mimetic Operator Networks.
CoRR, 2022

2021
The divergence-conforming immersed boundary method: Application to vesicle and capsule dynamics.
J. Comput. Phys., 2021

Analysis-suitable unstructured T-splines: Multiple extraordinary points per face.
CoRR, 2021

Quantitative in vivo imaging to enable tumor forecasting and treatment optimization.
CoRR, 2021

A comparison of matrix-free isogeometric Galerkin and collocation methods for Karhunen-Loève expansion.
CoRR, 2021

Simulating the spread of COVID-19 <i>via</i> a spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion.
Appl. Math. Lett., 2021

Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension.
Adv. Comput. Math., 2021

2020
A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties.
SIAM J. Numer. Anal., 2020

Reconstruction of Trimmed NURBS Surfaces for Gap-Free Intersections.
J. Comput. Inf. Sci. Eng., 2020

The Quad Layout Immersion: A Mathematically Equivalent Representation of a Surface Quadrilateral Layout.
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.
CoRR, 2020

Simulating the spread of COVID-19 via spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion.
CoRR, 2020

Tuned Hybrid Non-Uniform Subdivision Surfaces with Optimal Convergence Rates.
CoRR, 2020

A Tchebycheffian extension of multi-degree B-splines: Algorithmic computation and properties.
CoRR, 2020

Multi-degree B-splines: Algorithmic computation and properties.
Comput. Aided Geom. Des., 2020

2019
An adaptive space-time phase field formulation for dynamic fracture of brittle shells based on LR NURBS.
CoRR, 2019

Polynomial splines of non-uniform degree on triangulations: Combinatorial bounds on the dimension.
Comput. Aided Geom. Des., 2019

Watertight Boolean operations: A framework for creating CAD-compatible gap-free editable solid models.
Comput. Aided Des., 2019

2017
Truncated hierarchical tricubic spline construction on unstructured hexahedral meshes for isogeometric analysis applications.
Comput. Math. Appl., 2017

2014
Volumetric T-spline construction using Boolean operations.
Eng. Comput., 2014

2013
Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements.
Numerische Mathematik, 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.
J. Comput. Phys., 2013

Isogeometric analysis of the advective Cahn-Hilliard equation: Spinodal decomposition under shear flow.
J. Comput. Phys., 2013

Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations.
J. Comput. Phys., 2013

Trivariate solid T-spline construction from boundary triangulations with arbitrary genus topology.
Comput. Aided Des., 2013

2012
On linear independence of T-spline blending functions.
Comput. Aided Geom. Des., 2012

2011
Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models.
J. Comput. Phys., 2011

2010
Stabilized Methods for Compressible Flows.
J. Sci. Comput., 2010

2007
Variational Multiscale Analysis: the Fine-scale Green's Function, Projection, Optimization, Localization, and Stabilized Methods.
SIAM J. Numer. Anal., 2007

Automatic 3D Mesh Generation for a Domain with Multiple Materials.
Proceedings of the 16th International Meshing Roundtable, 2007

2006
Analysis of a Multiscale Discontinuous Galerkin Method for Convection-Diffusion Problems.
SIAM J. Numer. Anal., 2006

Patient-Specific Vascular NURBS Modeling for Isogeometric Analysis of Blood Flow.
Proceedings of the 15th International Meshing Roundtable, 2006

Isogeometric analysis of blood flow: a NURBS-based approach.
Proceedings of the Computational Modeling of Objects Represented in Images-Fundamentals, 2006

Patient specific heart models from high resolution CT.
Proceedings of the Computational Modeling of Objects Represented in Images-Fundamentals, 2006

2005
Mixed Discontinuous Galerkin Methods for Darcy Flow.
J. Sci. Comput., 2005

A Multiscale Discontinuous Galerkin Method.
Proceedings of the Large-Scale Scientific Computing, 5th International Conference, 2005

2003
In vivo validation of a one-dimensional finite-element method for predicting blood flow in cardiovascular bypass grafts.
IEEE Trans. Biomed. Eng., 2003

1997
High-Performance Parallel Computing in Industry.
Parallel Comput., 1997

1994
Mesh Decomposition and Communication Procedures for Finite Element Applications on the Connection Machine CM-5 System.
Proceedings of the High-Performance Computing and Networking, 1994

1992
An Efficient Implementation of the Spectral Partitioning Algorithm on Connection Machine Systems.
Proceedings of the Future Tendencies in Computer Science, 1992


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