Oden Institute Reports are authored by Oden Institute Faculty, in collaboration with other Researchers, Visiting Scholars, Post-Doctoral Fellows, and CSEM Students under their supervision. Although they may represent the work of a single Oden Institute Faculty member, the reports are more often a collaboration, and are meant to be a temporary outlet for the work prior to publication in refereed journals and conference proceedings. Oden Institute Report are not meant to be an outlet for the work of non-Oden Institute researchers, scholars, or students that was completed elsewhere, without Oden Institute Faculty collaboration and/or without direct support from Oden Institute contracts (where such collaboration/support has been noted in an "Acknowledgements" section).

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20-14 — “Matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature”

Michal L. Mika, Thomas J.R. Hughes, Dominik Schillinger, Peter Wriggers, and René R. Hiemstra

July 6, 2020

20-13 — “Diffusion-reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study”

Alex Viguerie, Alessandro Veneziani, Guillermo Lorenzo, Davide Baroli, Nicole Aretz-Nellesen, Alessia Patton, Thomas E. Yankeelov, Alessandro Reali, Thomas J.R. Hughes, and Ferdinando Auricchio

July 6, 2020

20-12 — “A DPG-based time-marching scheme for linear hyperbolic problems”

Judit Muñoz-Matute, David Pardo, and Leszek Demkowicz

June 16, 2020

20-11 — “Mathematical Theory of Finite Elements”

Leszek F. Demkowicz

June 1, 2020

20-10 — “Assessment of Predictability of a Class of Models of Growth of Coronavirus 19 Cases as an Exercise in Predictive Computational Science ”

J. Tinsley Oden, Prashant K. Jha, Lianghao Cao, Taemin Heo, Jing Hu, Mathew Hu, Jonathan Kelley, Jaime D. Mora Paz, Cyrus Neary, Akhil Potla, Sheroze Sherriffdeen, Chase Tessmer, and Christine Yang

May 14, 2020

20-09 — “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, and Alessandro Veneziani

May 13, 2020

20-08 — “Mixed stress-displacement isogeometric collocation for nearly incompressible elasticity and elastoplasticity”

Frederik Fahrendorf, Simone Morganti, Alessandro Reali, Thomas J.R. Hughes, and Laura De Lorenzis

May 11, 2020

20-07 — “Tuned Hybrid Non-Uniform Subdivision Surfaces with Optimal Convergence Rates”

Xiaodong Wei, Xin Lia, Yongjie Jessica Zhang, and Thomas J.R. Hughes

May 4, 2020

20-06 — “Towards untrimmed NURBS: CAD embedded reparameterization of trimmed B-rep geometry using frame-field guided global parameterization”

René R. Hiemstra, Kendrick M. Shepherd, Michael J. Johnson, Lulin Quan, and Thomas J. R. Hughes

March 16, 2020

20-05 — “Equivalence between the DPG method and the Exponential Integrators for linear parabolic problems”

Judit Munoz-Matute, David Pardo, and Leszek Demkowicz

March 18, 2020