Journal Articles

J. Hicken, D. Del Rey Fernández, and D. Zingg, “Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements,” SIAM Journal on Scientific Computing, July 06, 2016.

J. Hicken, and A. Dener, “A Flexible Iterative Solver for Nonconvex, Equality-Constrained Quadratic Subproblems,” SIAM Journal on Scientific Computing, July, 2015.

G. Kennedy, and J. Hicken, “Improved constraint-aggregation methods,” Computer Methods in Applied Mechanics and Engineering, June, 2015.

J. Hicken, “Inexact Hessian-vector products in reduced-space differential-equation constrained optimization,” Optimization and Engineering, September, 2014.

D. Del Rey Fernández, J. Hicken, and D. Zingg, “Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations,” Computers & Fluids, May, 2014.

J. Hicken, and J. Alonso, “PDE-constrained optimization with error estimation and control,” Journal of Computational Physics, April, 2014.

J. Hicken, and D. Zingg, “Dual consistency and functional accuracy: a finite-difference perspective,” Journal of Computational Physics, January, 2014.

J. Hicken, J. Li, O. Sahni, and A. Oberai, “Adjoint consistency analysis of residual-based variational multiscale methods,” Journal of Computational Physics, December, 2013.

J. Hicken, and D. Zingg, “Summation-by-parts operators and high-order quadrature,” Journal of Computational and Applied Mathematics, January, 2013.

J. Hicken, “Output error estimation for summation-by-parts finite-difference schemes,” Journal of Computational Physics, May, 2012.

J. Hicken, and D. Zingg, “Superconvergent functional estimates from summation-by-parts finite-difference discretizations,” SIAM Journal on Scientific Computing, 2011.

J. Hicken, and D. Zingg, “Aerodynamic optimization algorithm with integrated geometry parameterization and mesh movement,” AIAA Journal, February, 2010.

J. Hicken, and D. Zingg, “Induced-drag minimization of nonplanar geometries based on the Euler equations,” AIAA Journal, November, 2010.

J. Hicken, and D. Zingg, “A simplified and flexible variant of GCROT for solving nonsymmetric linear systems,” SIAM Journal on Scientific Computing, 2010.

J. Hicken, and D. Zingg, “A parallel Newton-Krylov solver for the Euler equations discretized using simultaneous approximation terms,” AIAA Journal, November, 2008.

J. Hicken, F. Ham, J. Militzer, and M. Koksal, “A shift transformation for fully conservative methods: turbulence simulation on complex, unstructured grids,” Journal of Computational Physics, 2005.

H. Kunze, J. Hicken, and E. Vrscay, “Inverse problems for ODEs using contraction maps and suboptimality of the  collage method,” Inverse Problems, June, 2004.

Conference Proceedings

A. Ashley, and J. Hicken, “Sensitivity Analysis of Chaotic Problems using a Fourier Approximation of the Least-Squares Adjoint,” in 17th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, June, 2016.

J. Hicken, D. Del Rey Fernández, and D. Zingg, “Simultaneous Approximation Terms for Multidimensional Summation-by-parts Operators,” in 46th AIAA Fluid Dynamics Conference, June, 2016.

J. Crean, K. Panda, A. Ashley, and J. Hicken, “Investigation of stabilization methods for multi-dimensional summation-by-parts discretizations of the Euler equations,” in AIAA SciTech Conference, January, 2016.

A. Dener, J. Hicken, P. Meng, G. Kennedy, J. Hwang, and J. Gray, “Kona: a parallel optimization library for engineering-design problems,” in AIAA SciTech Conference, January, 2016.

J. Hicken, and A. Ashley, “Arnoldi-based Sampling for High-dimensional Optimization using Imperfect Data,” in 16th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, June, 2015.

J. Hicken, D. Del Rey Fernández, and D. Zingg, “Opportunities for efficient high-order methods based on the summation-by-parts property,” in 22nd AIAA Computational Fluid Dynamics Conference, June, 2015.

A. Dener, G. Kenway, Z. Lyu, J. Hicken, and J. Martins, “Comparison of inexact- and quasi-Newton algorithms for aerodynamic shape optimization,” in AIAA SciTech Conference, January, 2015.

A. Ashley, and J. Hicken, “Optimization Algorithm for Systems Governed by Chaotic Dynamics,” in 2014 AIAA Aviation Conference, June, 2014.

A. Dener, and J. Hicken, “Revisiting Individual Discipline Feasible using matrix-free Inexact-Newton-Krylov,” in 10th AIAA Multidisciplinary Design Optimization Conference, January, 2014.

J. Hicken, and J. Alonso, “Comparison of Reduced- and Full-space Algorithms for PDE-constrained Optimization,” in 51st AIAA Aerospace Sciences Meeting, January, 2013.

J. Hicken, and J. Alonso, “PDE-constrained optimization with error estimation and control,” in 50th AIAA Aerospace Sciences Meeting, January, 2012.

F. Palacios, J. Alonso, M. Colonno, J. Hicken, and T. Lukaczyk, “Adjoint-based method for supersonic aircraft design using equivalent area distributions,” in 50th AIAA Aerospace Sciences Meeting, January, 2012.

J. Hicken, and D. Zingg, “The role of dual consistency in functional accuracy: error estimation and superconvergence,” in 20th AIAA Computational Fluid Dynamics Conference, June, 2011.

J. Hicken, H. Buckley, M. Osusky, and D. Zingg, “Dissipation-based continuation: a globalization for inexact-Newton solvers,” in 20th AIAA Computational Fluid Dynamics Conference, June, 2011.

N. Kuntawala, J. Hicken, and D. Zingg, “Preliminary aerodynamic shape optimization of a blended-wing-body aircraft configuration,” in 49th AIAA Aerospace Sciences Meeting, January, 2011.

J. Hicken, M. Osusky, and D. Zingg, “Comparison of parallel preconditioners for a Newton-Krylov flow solver,” in Proceedings of the Sixth International Conference on Computational Fluid Dynamics, July, 2010.

M. Osusky, J. Hicken, and D. Zingg, “A parallel Newton-Krylov-Schur flow solver for the Navier-Stokes equations using the SBP-SAT approach,” in 48th AIAA Aerospace Sciences Meeting, January, 2010.

J. Hicken, and D. Zingg, “Globalization strategies for inexact-Newton solvers,” in 19th AIAA Computational Fluid Dynamics Conference, June, 2009.

X. Huan, J. Hicken, and D. Zingg, “Interface and boundary schemes for high-order methods,” in 19th AIAA Computational Fluid Dynamics Conference, June, 2009.

J. Hicken, and D. Zingg, “Integrated parametrization and grid movement using B-spline meshes,” in The 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, September, 2008.

J. Hicken, and D. Zingg, “An investigation of induced drag minimization using a parallel Newton-Krylov algorithm,” in The 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, September, 2008.

J. Hicken, and D. Zingg, “A parallel Newton-Krylov flow solver for the Euler equations on multi-block grids,” in 18th AIAA Computational Fluid Dynamics Conference, June, 2007.