Biblio

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Conference Paper
Darmofal, D. L., Allmaras, S. R., Yano, M., and Kudo, J., “An adaptive, higher-order discontinuous Galerkin finite element method for aerodynamics”, AIAA conference paper, no. 2013-2871, 2013.
Lu, J., and Darmofal, D. L., “Adaptive precision methodology for flow optimization via output error control”, AIAA conference paper, no. 2004-1096, 2004.
Fidkowski, K. J., and Darmofal, D. L., “An adaptive simplex cut-cell method for discontinuous Galerkin discretizations of the Navier-Stokes equations”, AIAA conference paper, no. 2007-3941, 2007.
Sun, H., and Darmofal, D. L., “An adaptive simplex cut-cell method for high-order discontinuous Galerkin discretizations of multi-material and multi-physics problems”, AIAA conference paper, no. 2013–2443, 2013.
Krakos, J. A., and Darmofal, D. L., “Anisotropic output-based mesh optimization for unsteady flows”, AIAA conference paper, no. 2013-3083, 2013.
Journal Article
Sun, H., and Darmofal, D. L., “An adaptive simplex cut-cell method for high-order discontinuous Galerkin discretizations of elliptic interface problems and conjugate heat transfer problems”, Journal of Computational Physics, vol. 278, 2014, pp. 445 - 468.
Ojeda, S. M., Sun, H., Allmaras, S. R., and Darmofal, D. L., “An adaptive simplex cut-cell method for high-order discontinuous Galerkin discretizations of conjugate heat transfer problems”, International Journal for Numerical Methods in Engineering, vol. 110, no. 4, 2017, pp. 350–378.
Jayasinghe, S., Darmofal, D. L., Galbraith, M. C., Burgess, N. K., and Allmaras, S. R., “Adjoint analysis of Buckley-Leverett and two-phase flow equations”, Computational Geosciences, vol. 22, no. 2, 2018, pp. 527–542.
Venditti, D. A., and Darmofal, D. L., “Adjoint error estimation and grid adaptation for functional outputs: Application to quasi-one-dimensional flow”, Journal of Computational Physics, vol. 164, no. 1, 2000, pp. 204–227.
Okusanya, T., Darmofal, D. L., and Peraire, J., “Algebraic multigrid for stabilized finite element discretizations of the Navier–Stokes equations”, Computer Methods in Applied Mechanics and Engineering, vol. 193, no. 33, 2004, pp. 3667–3686.
Darmofal, D. L., and Haimes, R., “An Analysis of 3D Particle Path Integration Algorithms”, Journal of Computational Physics, vol. 123, no. 1, 1996, pp. 182 - 195.
Oliver, T. A., and Darmofal, D. L., “Analysis of dual consistency for discontinuous Galerkin discretizations of source terms”, SIAM Journal of Numerical Analysis, vol. 47, no. 5, 2009, pp. 3507–3525.
Carson, H. A., Darmofal, D. L., Galbraith, M. C., and Allmaras, S. R., “Analysis of output-based error estimation for finite element methods”, Applied Numerical Mathematics, vol. 118, 2017, pp. 182 - 202.
Caplan, P. C., Haimes, R., Darmofal, D. L., and Galbraith, M. C., “Anisotropic Geometry-Conforming d-simplicial Meshing via Isometric Embeddings”, Procedia Engineering, vol. 203, 2017, pp. 141-153.
Venditti, D. A., and Darmofal, D. L., “Anisotropic grid adaptation for functional outputs: Application to two-dimensional viscous flows”, Journal of Computational Physics, vol. 187, no. 1, 2003, pp. 22–46.
Hu, Y., Wagner, C. F., Allmaras, S. R., Galbraith, M. C., and Darmofal, D. L., “Application of Higher-order Adaptive Method to Reynolds-Averaged Navier–Stokes Test Cases”, AIAA Journal, vol. 54, no. 9, 2016.
Thesis
Raghunathan, S., “An Adaptive Cycling Multigrid Algorithm for Two-dimensional Convection-dominated Flows”, Masters Thesis, Texas A&M University, 1998.
Caplan, P. C. D., “An Adaptive Framework for High-Order, Mixed-Element Numerical Simulations”, Masters Thesis, Massachusetts Institute of Technology, 2014.
Kim, K., “An Adaptive Mesh Method for the Simulation of Blade Vortex Interaction”, Masters Thesis, Texas A&M University, 1998.
Jayasinghe, S., “An Adaptive Space-Time Discontinuous Galerkin Method for Reservoir Flows”, Phd Thesis, Massachusetts Institute of Technology, 2018.
Huang, A. C., “An Adaptive Variational Multiscale Method with Discontinuous Subscales for Aerodynamic Flows”, Phd Thesis, Massachusetts Institute of Technology, 2020.
Okusanya, T., “Algebraic Multigrid for Stabilized Finite Element Discretizations of the Navier-Stokes Equations”, Phd Thesis, Massachusetts Institute of Technology, 2002.
de la Garza, A., “An All-at-Once Approach for Multidisciplinary Preliminary Aircraft Design”, Masters Thesis, Texas A&M University, 1998.
Park, M. A., “Anisotropic Output-Based Adaptation with Tetrahedral Cut Cells for Compressible Flows”, Phd Thesis, Massachusetts Institute of Technology, 2008.
Modisette, J. M., “An Automated Reliable Method for Two-Dimensional Reynolds-averaged Navier-Stokes Simulations”, Phd Thesis, Massachusetts Institute of Technology, 2011.