Lucas C. Wilcox

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 17

Top Topics

Constrained Optimization Problems

Finite Difference

Benchmark Datasets

Conservation Laws

Top Venues

J. Sci. Comput.

J. Comput. Phys.

Int. J. High Perform. Comput. Appl.

Publications

Christina G. Taylor, Lucas C. Wilcox, Jesse Chan
An Energy Stable High-Order Cut Cell Discontinuous Galerkin Method with State Redistribution for Wave Propagation. CoRR (2024)
Maciej Waruszewski, Jeremy E. Kozdon, Lucas C. Wilcox, Thomas H. Gibson, Francis X. Giraldo
Entropy stable discontinuous Galerkin methods for balance laws in non-conservative form: Applications to the Euler equations with gravity. J. Comput. Phys. 468 (2022)
Maciej Waruszewski, Jeremy E. Kozdon, Lucas C. Wilcox, Thomas H. Gibson, Francis X. Giraldo
Entropy Stable Discontinuous Galerkin Methods for Balance Laws in Non-Conservative Form: Applications to Euler with Gravity. CoRR (2021)
Jeremy E. Kozdon, Brittany A. Erickson, Lucas C. Wilcox
Hybridized Summation-by-Parts Finite Difference Methods. J. Sci. Comput. 87 (3) (2021)
Jeremy E. Kozdon, Brittany A. Erickson, Lucas C. Wilcox
Hybridized Summation-By-Parts Finite Difference Methods. CoRR (2020)
Jeremy E. Kozdon, Lucas C. Wilcox, Thomas M. Hagstrom, Jeffrey W. Banks
Robust approaches to handling complex geometries with Galerkin difference methods. J. Comput. Phys. 392 (2019)
N. Koeppen, I. Michael Ross, Lucas C. Wilcox, Ronald J. Proulx
Fast Mesh Refinement in Pseudospectral Optimal Control. CoRR (2019)
Daniel S. Abdi, Lucas C. Wilcox, Timothy C. Warburton, Francis X. Giraldo
A GPU-accelerated continuous and discontinuous Galerkin non-hydrostatic atmospheric model. Int. J. High Perform. Comput. Appl. 33 (1) (2019)
Jesse Chan, Lucas C. Wilcox
On discretely entropy stable weight-adjusted discontinuous Galerkin methods: curvilinear meshes. J. Comput. Phys. 378 (2019)
Daniel S. Abdi, Francis X. Giraldo, Emil M. Constantinescu, Lester E. Carr, Lucas C. Wilcox, Timothy C. Warburton
Acceleration of the IMplicit-EXplicit nonhydrostatic unified model of the atmosphere on manycore processors. Int. J. High Perform. Comput. Appl. 33 (2) (2019)
Andreas Müller, Michal A. Kopera, Simone Marras, Lucas C. Wilcox, Tobin Isaac, Francis X. Giraldo
Strong scaling for numerical weather prediction at petascale with the atmospheric model NUMA. Int. J. High Perform. Comput. Appl. 33 (2) (2019)
Jeremy E. Kozdon, Lucas C. Wilcox
An Energy Stable Approach for Discretizing Hyperbolic Equations with Nonconforming Discontinuous Galerkin Methods. J. Sci. Comput. 76 (3) (2018)
Wei Kang, Lucas C. Wilcox
Solving 1D Conservation Laws Using Pontryagin's Minimum Principle. J. Sci. Comput. 71 (1) (2017)
Wei Kang, Lucas C. Wilcox
Mitigating the curse of dimensionality: sparse grid characteristics method for optimal feedback control and HJB equations. Comput. Optim. Appl. 68 (2) (2017)
Andreas Klöckner, Lucas C. Wilcox, Timothy C. Warburton
Array program transformation with Loo.py by example: high-order finite elements. ARRAY@PLDI (2016)
Andreas Klöckner, Lucas C. Wilcox, Timothy C. Warburton
Array Program Transformation with Loo.py by Example: High-Order Finite Elements. CoRR (2016)
Jeremy E. Kozdon, Lucas C. Wilcox
Stable Coupling of Nonconforming, High-Order Finite Difference Methods. SIAM J. Sci. Comput. 38 (2) (2016)
Tobin Isaac, Carsten Burstedde, Lucas C. Wilcox, Omar Ghattas
Recursive Algorithms for Distributed Forests of Octrees. SIAM J. Sci. Comput. 37 (5) (2015)
Lucas C. Wilcox, Georg Stadler, Tan Bui-Thanh, Omar Ghattas
Discretely Exact Derivatives for Hyperbolic PDE-Constrained Optimization Problems Discretized by the Discontinuous Galerkin Method. J. Sci. Comput. 63 (1) (2015)
Wei Kang, Lucas C. Wilcox
An example of solving HJB equations using sparse grid for feedback control. CDC (2015)
Andreas Müller, Michal A. Kopera, Simone Marras, Lucas C. Wilcox, Tobin Isaac, Francis X. Giraldo
Strong Scaling for Numerical Weather Prediction at Petascale with the Atmospheric Model NUMA. CoRR (2015)
Tobin Isaac, Carsten Burstedde, Lucas C. Wilcox, Omar Ghattas
Recursive Algorithms for Distributed Forests of Octrees. CoRR (2014)
Tan Bui-Thanh, Carsten Burstedde, Omar Ghattas, James Martin, Georg Stadler, Lucas C. Wilcox
Extreme-scale UQ for Bayesian inverse problems governed by PDEs. SC (2012)
James Martin, Lucas C. Wilcox, Carsten Burstedde, Omar Ghattas
A Stochastic Newton MCMC Method for Large-Scale Statistical Inverse Problems with Application to Seismic Inversion. SIAM J. Sci. Comput. 34 (3) (2012)
H. P. Flath, Lucas C. Wilcox, Volkan Akcelik, Judith Hill, Bart G. van Bloemen Waanders, Omar Ghattas
Fast Algorithms for Bayesian Uncertainty Quantification in Large-Scale Linear Inverse Problems Based on Low-Rank Partial Hessian Approximations. SIAM J. Sci. Comput. 33 (1) (2011)
Carsten Burstedde, Lucas C. Wilcox, Omar Ghattas
p4est: Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees. SIAM J. Sci. Comput. 33 (3) (2011)
Lucas C. Wilcox, Georg Stadler, Carsten Burstedde, Omar Ghattas
A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media. J. Comput. Phys. 229 (24) (2010)
Carsten Burstedde, Omar Ghattas, Michael Gurnis, Tobin Isaac, Georg Stadler, Tim Warburton, Lucas C. Wilcox
Extreme-Scale AMR. SC (2010)
Carsten Burstedde, Omar Ghattas, Michael Gurnis, Georg Stadler, Eh Tan, Tiankai Tu, Lucas C. Wilcox, Shijie Zhong
Scalable adaptive mantle convection simulation on petascale supercomputers. SC (2008)