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Brendan Keith

Ph.D. Candidate:
Computational Science, Engineering and Mathematics

Dissertation topic:
DPG Methods For Arterial Mechanics

Leszek Demkowicz

Prior Degrees:
M.A. (2015) – Computational Science, Engineering, & Mathematics; UT Austin
M.Sc. (2013) – Applied Mathematics, McGill University
B.Math (2011) – Pure Mathematics, University of Waterloo
B.Math (2011) – Applied Mathematics and option in Physics, University of Waterloo

Research interests:
Brendan's principal research interests lie in the accurate and efficient numerical approximation of solutions to partial differential equations and dynamical systems.

Recent publications:
Brendan Keith, Leszek Demkowicz, Jay Gopalakrishnan, DPG* method. ICES Report 17-25 (2017).

Brendan Keith, Socratis Petrides, Federico Fuentes, and Leszek Demkowicz, Discrete least-squares finite element methods. Comput. Methods Appl. Mech. Engrg., (in print).

Federico Fuentes, Brendan Keith, Leszek Demkowicz, and Patrick Le Tallec, Coupled variational formulations of linear elasticity and the DPG methodology, J. Comput. Phys., 348 (2017), pp. 715-731.

Brendan Keith, Philipp Knechtges, Nathan V. Roberts, Stefanie Elgeti, Marek Behr, and Leszek Demkowicz, An ultraweak DPG method for viscoelastic fluids, J. Non-Newton. Fluid Mech., 247 (2017), pp. 107-122.

Brendan Keith, Federico Fuentes, and Leszek Demkowicz, The DPG methodology applied to different variational formulations of linear elasticity, Comput. Methods Appl. Mech. Engrg., 309 (2016), pp. 579 – 609.

Federico Fuentes, Brendan Keith, Leszek Demkowicz, and Sriram Nagaraj, Orientation embedded high order shape functions for the exact sequence elements of all shapes, Comput. Math. Appl., 70 (2015), pp. 353–458.

Manuscripts in preparation:
Brendan Keith, Ali Vaziri Astaneh, and Leszek Demkowicz, Goal-oriented adaptive mesh refinement for discontinuous Petrov-Galerkin methods. Parts I & II.

Ali Vaziri Astaneh, Brendan Keith, and Leszek Demkowicz, Perfectly matched layers for broken variational formulations: applications for acoustics, elastodynamics, and electromagnetics

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Office: POB 3SEo5B