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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20-18 — “Isogeometric discrete differential forms: Non-uniform degrees, Bézier extraction, polar splines and flows on surfaces”

Deepesh Toshniwal and Thomas J. R. Hughes

October 16, 2020

20-17 — “An Adaptive Multigrid Solver for DPG Methods with Applications in Linear Acoustics and Electromagnetics”

Socratis Petrides and Leszek Demkowicz

October 13, 2020

20-16 — “Thinner biological tissues induce leaflet flutter in aortic heart valve replacements”

Emily L. Johnson, Michael C.H. Wu, Fei Xu, Nelson M. Wiese, Manoj R. Rajanna, Austin J. Herrema, Baskar Ganapathysubramanian, Thomas J.R. Hughes, Michael S. Sacks, and Ming-Chen Hsu

July 27, 2020

20-15 — “Bayesian-Based Predictions of COVID-19 Evolution in Texas Using Multispecies Mixture-Theoretic Continuum Models”

Prashant K. Jha, Lianghao Cao, and J. Tinsley Oden

July 19, 2020

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