Unpublished

Tobin Isaac.
: A mixed finite element for weakly-symmetric elasticity.; SIAM Journal on Numerical Analysis (Submitted).; arxiv:1802.02976.

Andreas Mueller, Michal Kopera, Simone Marras, Lucas C. Wilcox, Tobin Isaac, Frank Giraldo.
: Strong Scaling for Numerical Weather Prediction at Petascale with the Atmospheric Model NUMA.; International Journal of High Performance Computing Applications (Accepted).; arxiv:1511.01561.

Tobin Isaac, Matthew G. Knepley.
: Support for Non-conformal Meshes in PETSc's DMPlex Interface.; ACM Transactions on Mathematical Software (Submitted).; arxiv:1508.02470.

2017

Mark F. Adams, Eero Hirvijoki, Matthew G. Knepley, Jed Brown, Tobin Isaac, Richard Mills.
: Landau Collision Integral Solver with Adaptive Mesh Refinement on Emerging Architectures.; SIAM Journal on Scientific Computing (2017).; doi:10.1137/17M1118828.

2016

Hongyu Zhu, Noémi Petra, Georg Stadler, Tobin Isaac, Thomas J. R. Hughes, Omar Ghattas.
: Inversion of geothermal heat flux in a thermomechanically coupled nonlinear Stokes ice sheet model.; The Cryosphere (2016).; doi:10.5194/tc-10-1477-2016.

2015

Johann Rudi, A. Cristiano I. Malossi, Tobin Isaac, Georg Stadler, Michael Gurnis, Peter W. J. Staar, Yves Ineichen, Costas Bekas, Alessandro Curioni, Omar Ghattas.
: An Extreme-Scale Implicit Solver for Complex PDEs: Highly Heterogeneous Flow in Earth's Mantle.; SC15: The International Conference for High Performance Computing, Networking, Storage and Analysis (2015).; doi:10.1145/2807591.2807675.

Tobin Isaac, Carsten Burstedde, Lucas C. Wilcox, Omar Ghattas.
: Recursive Algorithms for Distributed Forests of Octrees.; SIAM Journal on Scientific Computing (2015).; doi:10.1137/140970963.

Tobin Isaac, Noémi Petra, Georg Stadler, Omar Ghattas.
: Scalable and Efficient Algorithms for the Propagation of Uncertainty from Data through Inference to Prediction for Large-scale Problems, with Application to Flow of the Antarctic Ice Sheet.; Journal of Computational Physics (2015).; doi:10.1016/j.jcp.2015.04.047.

Tobin Isaac, Georg Stadler, Omar Ghattas.
: Solution of Nonlinear Stokes Equations Discretized by High-order Finite Elements on Nonconforming and Anisotropic Meshes, with Application to Ice Sheet Dynamics.; SIAM Journal on Scientific Computing (2015).; doi:10.1137/140974407.

Tobin Isaac.
: Scalable, Adaptive Methods for Forward and Inverse Problems in Continental-Scale Ice Sheet Modeling.; University of Texas at Austin (2015).

<2015

Craig Michoski, Dmitry Meyerson, Tobin Isaac, François Waelbroeck.
: Discontinuous Galerkin Methods for Plasma Physics in the Scrape-off Layer of Tokamaks.; Journal of Computational Physics (2014).; doi:10.1016/j.jcp.2014.06.058.

Tobin Isaac, Carsten Burstedde, Omar Ghattas.
: Low-Cost Parallel Algorithms for 2:1 Octree Balance.; IEEE 2012 International Parallel & Distributed Processing Symposium (IPDPS) (2012).; doi:10.1109/IPDPS.2012.47.
: There is an error in Algorithm 7: line 3 reads \(\mathbf{\text{for all}}\ o\in R\ \mathbf{\text{do}}\); it should read \(\mathbf{\text{for all}}\ o\in R\cup R^{\text{new}}\ \mathbf{\text{do}}\).

Carsten Burstedde, Omar Ghattas, Michael Gurnis, Tobin Isaac, Georg Stadler, Tim Warburton, Lucas C. Wilcox.
: Extreme-Scale AMR.; SC10: The International Conference for High Performance Computing, Networking, Storage and Analysis (2010).; doi:10.1109/SC.2010.25.

Samuel F. Feng, Tobin Isaac, Nan Xiao.
: A Simulation-Driven Approach for a Cost-Efficient Airport Wheelchair.; UMAP Journal (2006).