@conference {Carson_2020_MOESS_CG_DG,
	title = {Mesh optimization via error sampling and synthesis: An update},
	booktitle = {AIAA conference paper},
	number = {2020-0087},
	year = {2020},
	doi = {10.2514/6.2020-0087},
	author = {Hugh A. Carson and Arthur C. Huang and Marshall C. Galbraith and Steven R. Allmaras and David L. Darmofal}
}
@conference {Huang_2020_Variational,
	title = {A Variational multiscale method with discontinuous subscales for output-based adaptation of aerodynamic flows},
	booktitle = {AIAA conference paper},
	number = {2020-1563},
	year = {2020},
	doi = {10.2514/6.2020-1563},
	author = {Arthur C. Huang and Hugh A. Carson and Steven R. Allmaras and Marshall C. Galbraith and David L. Darmofal and Dimitry S. Kamenetskiy}
}
@conference {Caplan_2019_Extension_of_local_cavity_operators_to_3dt_spacetime_mesh_adaptation,
	title = {{Extension of local cavity operators to 3d+t spacetime mesh adaptation}},
	booktitle = {AIAA conference paper},
	number = {2019-1992},
	year = {2019},
	doi = {10.2514/6.2019-1992},
	author = {Caplan, P.C. and Haimes, R. and Darmofal, D.L. and Galbraith, M.C.}
}
@mastersthesis {Caplan_2019_PhD,
	title = {Four-dimensional Anisotropic Mesh Adaptation for Spacetime Numerical Simulations},
	year = {2019},
	school = {Massachusetts Institute of Technology},
	type = {PhD},
	address = {Department of Aeronautics and Astronautics},
	author = {Caplan, P.C.}
}
@mastersthesis {Carson_2019_PhD,
	title = {Provably Convergent Anisotropic Output-Based Adaptation for Continuous Finite Element Discretizations},
	year = {2019},
	school = {Massachusetts Institute of Technology},
	type = {PhD},
	address = {Department of Aeronautics and Astronautics},
	author = {H.A. Carson}
}
@conference {Park_2019_Verification_of_Unstructured_Grid_Adaptation_Components,
	title = {Verification of unstructured grid adaptation components},
	booktitle = {AIAA conference paper},
	number = {2019{\textendash}1723},
	year = {2019},
	type = {AIAA Paper},
	doi = {10.2514/6.2019-1723},
	author = {Michael A. Park and Aravind Balan and W. Kyle Anderson and Marshall C. Galbraith and Philip Claude Caplan and Hugh A. Carson and Todd Michal and Joshua A. Krakos and Dmitry S. Kamenetskiy and Adrien Loseille and Fr{\'e}d{\'e}ric Alauzet and Lo{\"\i}c Frazza and Nicolas Barral}
}
@mastersthesis {Couchman_2018_SM,
	title = {On the Convergence of Higher-Order Finite Element Methods to Weak Solutions},
	year = {2018},
	month = {02/2018},
	school = {Massachusetts Institute of Technology},
	type = {Masters},
	url = {http://hdl.handle.net/1721.1/115685},
	author = {Benjamin L. Couchman}
}
@article {Carson_2017_ErrorEstimation,
	title = {Analysis of output-based error estimation for finite element methods},
	journal = {Applied Numerical Mathematics},
	volume = {118},
	year = {2017},
	pages = {182 - 202},
	abstract = {Abstract In this paper, we develop a priori estimates for the convergence of outputs, output error estimates, and localizations of output error estimates for Galerkin finite element methods. Output error estimates for order p finite element solutions are constructed using the Dual-Weighted Residual (DWR) method with a higher-order p ' \&gt; p dual solution. Specifically, we analyze these \{DWR\} estimates for Continuous Galerkin (CG), Discontinuous Galerkin (DG), and Hybridized \{DG\} (HDG) methods applied to the Poisson problem. For all discretizations, as h {\textrightarrow} 0 , we prove that the output and output error estimate converge at order 2p and 2 p ' (assuming sufficient smoothness), while localizations of the output and output error estimate converge at 2 p + d and p + p ' + d . For DG, the results use a new post processing for the error associated with the lifting operator. For HDG, these rates improve an additional order when the stabilization is based upon an O ( 1 ) length scale.},
	keywords = {Hybridizable Discontinuous Galerkin},
	issn = {0168-9274},
	doi = {http://dx.doi.org/10.1016/j.apnum.2017.03.004},
	url = {http://www.sciencedirect.com/science/article/pii/S0168927417300648},
	author = {Carson, H A and Darmofal, D L and Galbraith, M C and Allmaras, S R}
}
@article {Caplan_2017_Anisotropic_geometryconforming_dsimplicial_meshing_via_isometric_embeddings,
	title = {Anisotropic Geometry-Conforming d-simplicial Meshing via Isometric Embeddings},
	journal = {Procedia Engineering},
	volume = {203},
	year = {2017},
	note = {26th International Meshing Roundtable},
	pages = {141-153},
	publisher = {Springer Berlin Heidelberg},
	author = {Caplan, P.C. and Haimes, R. and Darmofal, D.L. and Galbraith, M.C.}
}
@conference {Couchman_2017_FEMweakconvergence,
	title = {On the convergence of higher-order finite element methods to weak solutions},
	booktitle = {AIAA conference paper},
	number = {2017-4274},
	year = {2017},
	keywords = {finite element methods},
	doi = {10.2514/6.2017-4274},
	author = {Couchman, B L and Darmofal, D L and Allmaras, S R and Galbraith, M C}
}
@mastersthesis {Carson_2016_SM,
	title = {A Priori Analysis of Global and Local Output Error Estimates for CG, DG and HDG Finite Element Discretizations},
	year = {2016},
	school = {Massachusetts Institute of Technology},
	type = {masters},
	address = {Department of Aeronautics and Astronautics},
	url = {http://hdl.handle.net/1721.1/105608},
	author = {Carson, H A}
}
@mastersthesis {Caplan_2014_SM,
	title = {An Adaptive Framework for High-Order, Mixed-Element Numerical Simulations},
	year = {2014},
	month = {June},
	school = {Massachusetts Institute of Technology},
	type = {masters},
	address = {Department of Aeronautics and Astronautics},
	url = {http://hdl.handle.net/1721.1/90654},
	author = {Caplan, P C D}
}
@inbook {Darmofal_2006_EducatingFuture,
	title = {Educating the future: the impact of pedagogical reform in aerodynamics},
	booktitle = {Frontiers of Computational Fluid Dynamics 2006},
	year = {2005},
	publisher = {World Scientific Publishing Co.},
	organization = {World Scientific Publishing Co.},
	keywords = {education},
	author = {Darmofal, D L},
	editor = {Caughey, D A and Hafez, M}
}
@mastersthesis {Collin_2004_SM,
	title = {Impact of Aerothermal Modeling on the Estimation of Turbine Blade Life},
	year = {2004},
	school = {Massachusetts Institute of Technology},
	type = {masters},
	address = {Department of Aeronautics and Astronautics},
	url = {http://hdl.handle.net/1721.1/30301},
	author = {Collin, J E}
}
@mastersthesis {Cain_1999_SM,
	title = {A Robust, Locally Preconditioned Multigrid Algorithm for the Navier-Stokes Equations},
	year = {1999},
	school = {Texas A\&M University},
	type = {masters},
	address = {Department of Aerospace Engineering},
	author = {Cain, M}
}
@inbook {Darmofal_1998_LocalPCreview,
	title = {Local preconditioning: {M}anipulating {M}other {N}ature to fool {F}ather {T}ime},
	booktitle = {Computing the Future II: Advances and Prospects in Computational Aerodynamics},
	year = {1998},
	publisher = {John Wiley and Sons},
	organization = {John Wiley and Sons},
	author = {Darmofal, D L and Van Leer, B},
	editor = {Caughey, D A and Hafez, M}
}
@mastersthesis {Cary_1997_Phd,
	title = {Non-axisymmetric Effects in Vortex Breakdown},
	year = {1997},
	school = {University of Michigan},
	type = {phd},
	address = {Department of Aerospace Engineering},
	author = {Cary, A}
}
@conference {Darmofal_1995_Wave_propagation_vortical_flows,
	title = {Wave propagation characteristics of vortical flows in varying-area pipes},
	booktitle = {AIAA conference paper},
	number = {AIAA-95-2307},
	year = {1995},
	keywords = {vortex breakdown},
	author = {Darmofal, D L and Cary, A W and Powell, K G}
}
